102100021112100 has 144 divisors (see below), whose sum is σ = 336276306938880. Its totient is φ = 23675367196800.

The previous prime is 102100021112087. The next prime is 102100021112113. The reversal of 102100021112100 is 1211120001201.

It is an interprime number because it is at equal distance from previous prime (102100021112087) and next prime (102100021112113).

It is a super-2 number, since 2×102100021112100² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672519760 + ... + 672671559.

It is an arithmetic number, because the mean of its divisors is an integer number (2335252131520).

Almost surely, 2^{102100021112100} is an apocalyptic number.

102100021112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100021112100 is an abundant number, since it is smaller than the sum of its proper divisors (234176285826780).

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

102100021112100 is a wasteful number, since it uses less digits than its factorization.

102100021112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345191370 (or 1345191363 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102100021112100 its reverse (1211120001201), we get a palindrome (103311141113301).

The spelling of 102100021112100 in words is "one hundred two trillion, one hundred billion, twenty-one million, one hundred twelve thousand, one hundred".