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102001022121020 = 225112320158304767
BaseRepresentation
bin10111001100010011110110…
…101100001011010000111100
3111101011012110121110111200212
4113030103312230023100330
5101332141043130333040
61000534342255211552
730325221262423061
oct2714236654132074
9441135417414625
10102001022121020
112a55643290a680
12b534593b16bb8
1344bb869391149
141b28c3932ac68
15bbd43239cd65
hex5cc4f6b0b43c

102001022121020 has 48 divisors (see below), whose sum is σ = 243834854473728. Its totient is φ = 35478616388160.

The previous prime is 102001022120999. The next prime is 102001022121079. The reversal of 102001022121020 is 20121220100201.

It is a super-2 number, since 2×1020010221210202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102001022120986 and 102001022121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10079147324 + ... + 10079157443.

It is an arithmetic number, because the mean of its divisors is an integer number (5079892801536).

Almost surely, 2102001022121020 is an apocalyptic number.

102001022121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001022121020 is an abundant number, since it is smaller than the sum of its proper divisors (141833832352708).

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

102001022121020 is a wasteful number, since it uses less digits than its factorization.

102001022121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20158304810 (or 20158304808 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102001022121020 its reverse (20121220100201), we get a palindrome (122122242221221).

The spelling of 102001022121020 in words is "one hundred two trillion, one billion, twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 20158304767 40316609534 80633219068 100791523835 201583047670 221741352437 403166095340 443482704874 463641009641 886965409748 927282019282 1108706762185 1854564038564 2217413524370 2318205048205 4434827048740 4636410096410 5100051106051 9272820192820 10200102212102 20400204424204 25500255530255 51000511060510 102001022121020