102112100001020 has 12 divisors (see below), whose sum is σ = 214435410002184. Its totient is φ = 40844840000400.

The previous prime is 102112100000993. The next prime is 102112100001031. The reversal of 102112100001020 is 20100001211201.

It is a junction number, because it is equal to n+sod(n) for n = 102112100000992 and 102112100001010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2552802500006 + ... + 2552802500045.

It is an arithmetic number, because the mean of its divisors is an integer number (17869617500182).

Almost surely, 2^{102112100001020} is an apocalyptic number.

102112100001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112100001020 is an abundant number, since it is smaller than the sum of its proper divisors (112323310001164).

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

102112100001020 is a wasteful number, since it uses less digits than its factorization.

102112100001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105605000060 (or 5105605000058 counting only the distinct ones).

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

Adding to 102112100001020 its reverse (20100001211201), we get a palindrome (122212101212221).

The spelling of 102112100001020 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, one thousand, twenty".