100023511120 has 80 divisors (see below), whose sum is σ = 250510216320. Its totient is φ = 36921917952.

The previous prime is 100023511111. The next prime is 100023511121. The reversal of 100023511120 is 21115320001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100023511094 and 100023511103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023511121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4739151 + ... + 4760209.

It is an arithmetic number, because the mean of its divisors is an integer number (3131377704).

Almost surely, 2^100023511120 is an apocalyptic number.

100023511120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100023511120 is an abundant number, since it is smaller than the sum of its proper divisors (150486705200).

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

100023511120 is a wasteful number, since it uses less digits than its factorization.

100023511120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25652 (or 25646 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 100023511120 its reverse (21115320001), we get a palindrome (121138831121).

The spelling of 100023511120 in words is "one hundred billion, twenty-three million, five hundred eleven thousand, one hundred twenty".