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102121000100202 = 23195989971758719
BaseRepresentation
bin10111001110000011100101…
…111011110110000101101010
3111101120200011002012100022110
4113032003211323312011222
5101341122302011201302
61001105423443503150
730336666403421616
oct2716034573660552
9441520132170273
10102121000100202
112a5a23002a4176
12b553898387ab6
1344c9c79b38335
141b3097b780346
15bc1605453b6c
hex5ce0e5ef616a

102121000100202 has 128 divisors (see below), whose sum is σ = 223371509760000. Its totient is φ = 31022772498432.

The previous prime is 102121000100137. The next prime is 102121000100209. The reversal of 102121000100202 is 202001000121201.

It is a super-2 number, since 2×1021210001002022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102121000100209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57186199 + ... + 58944917.

It is an arithmetic number, because the mean of its divisors is an integer number (1745089920000).

Almost surely, 2102121000100202 is an apocalyptic number.

102121000100202 is an abundant number, since it is smaller than the sum of its proper divisors (121250509659798).

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

102121000100202 is a wasteful number, since it uses less digits than its factorization.

102121000100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758988.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102121000100202 its reverse (202001000121201), we get a palindrome (304122000221403).

The spelling of 102121000100202 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 19 38 57 59 89 97 114 118 177 178 194 267 291 354 534 582 1121 1691 1843 2242 3363 3382 3686 5073 5251 5529 5723 6726 8633 10146 10502 11058 11446 15753 17169 17266 25899 31506 34338 51798 99769 108737 164027 199538 217474 299307 326211 328054 492081 509347 598614 652422 984162 1018694 1528041 1758719 3056082 3517438 5276157 9677593 10552314 19355186 29032779 33415661 58065558 66831322 100246983 103764421 156525991 170595743 200493966 207528842 311293263 313051982 341191486 469577973 511787229 622586526 939155946 1023574458 1971523999 2973993829 3241319117 3943047998 5914571997 5947987658 6482638234 8921981487 9235033469 9723957351 10065148837 11829143994 15183021127 17843962974 18470066938 19447914702 20130297674 27705100407 30195446511 30366042254 45549063381 55410200814 60390893022 91098126762 175465635911 191237827903 288477401413 350931271822 382475655806 526396907733 573713483709 576954802826 865432204239 895798246493 1052793815466 1147426967418 1730864408478 1791596492986 2687394739479 5374789478958 17020166683367 34040333366734 51060500050101 102121000100202