10123011032100 has 72 divisors (see below), whose sum is σ = 30003617124768. Its totient is φ = 2633628883200.

The previous prime is 10123011032063. The next prime is 10123011032161. The reversal of 10123011032100 is 123011032101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10123011032100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411492214 + ... + 411516813.

Almost surely, 2^{10123011032100} is an apocalyptic number.

10123011032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123011032100 is an abundant number, since it is smaller than the sum of its proper divisors (19880606092668).

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

10123011032100 is a wasteful number, since it uses less digits than its factorization.

10123011032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823009085 (or 823009078 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10123011032100 its reverse (123011032101), we get a palindrome (10246022064201).

Subtracting from 10123011032100 its reverse (123011032101), we obtain a palindrome (9999999999999).

The spelling of 10123011032100 in words is "ten trillion, one hundred twenty-three billion, eleven million, thirty-two thousand, one hundred".