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102121001102000 = 2453312835820187
BaseRepresentation
bin10111001110000011100101…
…111111101010101010110000
3111101120200011011002020112002
4113032003211333222222300
5101341122302240231000
61001105423521153132
730336666415063406
oct2716034577525260
9441520134066462
10102121001102000
112a5a2300918901
12b55389878b7a8
1344c9c7a0c930a
141b3097b961476
15bc16055a08d5
hex5ce0e5feaab0

102121001102000 has 160 divisors (see below), whose sum is σ = 255794748278784. Its totient is φ = 39391018848000.

The previous prime is 102121001101957. The next prime is 102121001102047. The reversal of 102121001102000 is 201100121201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14635907 + ... + 20456093.

Almost surely, 2102121001102000 is an apocalyptic number.

102121001102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121001102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127897374139392).

102121001102000 is an abundant number, since it is smaller than the sum of its proper divisors (153673747176784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121001102000 is a wasteful number, since it uses less digits than its factorization.

102121001102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820524 (or 5820508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102121001102000 its reverse (201100121201), we get a palindrome (102322101223201).

The spelling of 102121001102000 in words is "one hundred two trillion, one hundred twenty-one billion, one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 283 310 400 496 500 566 620 775 1000 1132 1240 1415 1550 2000 2264 2480 2830 3100 3875 4528 5660 6200 7075 7750 8773 11320 12400 14150 15500 17546 22640 28300 31000 35092 35375 43865 56600 62000 70184 70750 87730 113200 140368 141500 175460 219325 283000 350920 438650 566000 701840 877300 1096625 1754600 2193250 3509200 4386500 5820187 8773000 11640374 17546000 23280748 29100935 46561496 58201870 93122992 116403740 145504675 180425797 232807480 291009350 360851594 465614960 582018700 721703188 727523375 902128985 1164037400 1443406376 1455046750 1647112921 1804257970 2328074800 2886812752 2910093500 3294225842 3608515940 4510644925 5820187000 6588451684 7217031880 8235564605 9021289850 11640374000 13176903368 14434063760 16471129210 18042579700 22553224625 26353806736 32942258420 36085159400 41177823025 45106449250 51060500551 65884516840 72170318800 82355646050 90212898500 102121001102 131769033680 164711292100 180425797000 204242002204 205889115125 255302502755 329422584200 360851594000 408484004408 411778230250 510605005510 658845168400 816968008816 823556460500 1021210011020 1276512513775 1647112921000 2042420022040 2553025027550 3294225842000 4084840044080 5106050055100 6382562568875 10212100110200 12765125137750 20424200220400 25530250275500 51060500551000 102121001102000