10123112100 has 36 divisors (see below), whose sum is σ = 29289538544. Its totient is φ = 2699496480.

The previous prime is 10123112081. The next prime is 10123112101. The reversal of 10123112100 is 121132101.

10123112100 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 (12).

It is not an unprimeable number, because it can be changed into a prime (10123112101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16871554 + ... + 16872153.

Almost surely, 2^10123112100 is an apocalyptic number.

10123112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123112100 is an abundant number, since it is smaller than the sum of its proper divisors (19166426444).

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

10123112100 is a wasteful number, since it uses less digits than its factorization.

10123112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33743724 (or 33743717 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10123112100 its reverse (121132101), we get a palindrome (10244244201).

The spelling of 10123112100 in words is "ten billion, one hundred twenty-three million, one hundred twelve thousand, one hundred".