10122132131100 has 108 divisors (see below), whose sum is σ = 34611557296680. Its totient is φ = 2453850211200.

The previous prime is 10122132131071. The next prime is 10122132131173. The reversal of 10122132131100 is 113123122101.

10122132131100 is a `hidden beast` number, since 1 + 0 + 12 + 21 + 321 + 311 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 511208895 + ... + 511228694.

Almost surely, 2^{10122132131100} is an apocalyptic number.

10122132131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122132131100 is an abundant number, since it is smaller than the sum of its proper divisors (24489425165580).

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

10122132131100 is a wasteful number, since it uses less digits than its factorization.

10122132131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022437620 (or 1022437610 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10122132131100 its reverse (113123122101), we get a palindrome (10235255253201).

The spelling of 10122132131100 in words is "ten trillion, one hundred twenty-two billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred".