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102121021020 = 223519149601207
BaseRepresentation
bin101111100011011100…
…0110001111001011100
3100202120222201101002210
41133012320301321130
53133120440133040
6114525211520420
710243440233154
oct1370670617134
9322528641083
10102121021020
113a344721637
1217960159110
13982607a675
144d2aa1d764
1529ca555480
hex17c6e31e5c

102121021020 has 96 divisors (see below), whose sum is σ = 303008832000. Its totient is φ = 25625804544.

The previous prime is 102121021003. The next prime is 102121021021. The reversal of 102121021020 is 20120121201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102121020987 and 102121021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121021021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130744 + ... + 470463.

It is an arithmetic number, because the mean of its divisors is an integer number (3156342000).

Almost surely, 2102121021020 is an apocalyptic number.

102121021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121021020 is an abundant number, since it is smaller than the sum of its proper divisors (200887810980).

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

102121021020 is a wasteful number, since it uses less digits than its factorization.

102121021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601387 (or 601385 counting only the distinct ones).

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

Adding to 102121021020 its reverse (20120121201), we get a palindrome (122241142221).

The spelling of 102121021020 in words is "one hundred two billion, one hundred twenty-one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 149 190 228 285 298 380 447 570 596 745 894 1140 1490 1788 2235 2831 2980 4470 5662 8493 8940 11324 14155 16986 28310 33972 42465 56620 84930 169860 601207 1202414 1803621 2404828 3006035 3607242 6012070 7214484 9018105 11422933 12024140 18036210 22845866 34268799 36072420 45691732 57114665 68537598 89579843 114229330 137075196 171343995 179159686 228458660 268739529 342687990 358319372 447899215 537479058 685375980 895798430 1074958116 1343697645 1702017017 1791596860 2687395290 3404034034 5106051051 5374790580 6808068068 8510085085 10212102102 17020170170 20424204204 25530255255 34040340340 51060510510 102121021020