10132112100 has 72 divisors (see below), whose sum is σ = 31980640608. Its totient is φ = 2456268800.

The previous prime is 10132112087. The next prime is 10132112129. The reversal of 10132112100 is 121123101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1531869 + ... + 1538468.

It is an arithmetic number, because the mean of its divisors is an integer number (444175564).

Almost surely, 2^10132112100 is an apocalyptic number.

10132112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132112100 is an abundant number, since it is smaller than the sum of its proper divisors (21848528508).

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

10132112100 is a wasteful number, since it uses less digits than its factorization.

10132112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070365 (or 3070358 counting only the distinct ones).

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

Adding to 10132112100 its reverse (121123101), we get a palindrome (10253235201).

The spelling of 10132112100 in words is "ten billion, one hundred thirty-two million, one hundred twelve thousand, one hundred".