10123331100 has 72 divisors (see below), whose sum is σ = 30831776640. Its totient is φ = 2557471680.

The previous prime is 10123331087. The next prime is 10123331111. The reversal of 10123331100 is 113332101.

10123331100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10123331100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882312 + ... + 893711.

It is an arithmetic number, because the mean of its divisors is an integer number (428219120).

Almost surely, 2^10123331100 is an apocalyptic number.

10123331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123331100 is an abundant number, since it is smaller than the sum of its proper divisors (20708445540).

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

10123331100 is a wasteful number, since it uses less digits than its factorization.

10123331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776059 (or 1776052 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10123331100 its reverse (113332101), we get a palindrome (10236663201).

The spelling of 10123331100 in words is "ten billion, one hundred twenty-three million, three hundred thirty-one thousand, one hundred".