10012233131100 has 144 divisors (see below), whose sum is σ = 32506164159840. Its totient is φ = 2643493824000.

The previous prime is 10012233131099. The next prime is 10012233131113. The reversal of 10012233131100 is 113133221001.

10012233131100 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 22 + 331 + 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 47 ways as a sum of consecutive naturals, for example, 18084897 + ... + 18630296.

It is an arithmetic number, because the mean of its divisors is an integer number (225737251110).

Almost surely, 2^{10012233131100} is an apocalyptic number.

10012233131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012233131100 is an abundant number, since it is smaller than the sum of its proper divisors (22493931028740).

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

10012233131100 is a wasteful number, since it uses less digits than its factorization.

10012233131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36715317 (or 36715304 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10012233131100 its reverse (113133221001), we get a palindrome (10125366352101).

The spelling of 10012233131100 in words is "ten trillion, twelve billion, two hundred thirty-three million, one hundred thirty-one thousand, one hundred".