102112100001023 has 32 divisors (see below), whose sum is σ = 120821185027200. Its totient is φ = 84438325407744.

The previous prime is 102112100000993. The next prime is 102112100001031. The reversal of 102112100001023 is 320100001211201.

It is not a de Polignac number, because 102112100001023 - 2²⁴ = 102112083223807 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102112100000989 and 102112100001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112100001073) 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, 1571672483 + ... + 1571737451.

It is an arithmetic number, because the mean of its divisors is an integer number (3775662032100).

Almost surely, 2^{102112100001023} is an apocalyptic number.

102112100001023 is a deficient number, since it is larger than the sum of its proper divisors (18709085026177).

102112100001023 is a wasteful number, since it uses less digits than its factorization.

102112100001023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71139.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102112100001023 its reverse (320100001211201), we get a palindrome (422212101212224).

The spelling of 102112100001023 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, one thousand, twenty-three".