10100131200 has 144 divisors (see below), whose sum is σ = 36039685500. Its totient is φ = 2693360640.

The previous prime is 10100131159. The next prime is 10100131201. The reversal of 10100131200 is 213100101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100131201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 146550 + ... + 204149.

Almost surely, 2^10100131200 is an apocalyptic number.

10100131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100131200 is an abundant number, since it is smaller than the sum of its proper divisors (25939554300).

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

10100131200 is a wasteful number, since it uses less digits than its factorization.

10100131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350729 (or 350709 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100131200 its reverse (213100101), we get a palindrome (10313231301).

The spelling of 10100131200 in words is "ten billion, one hundred million, one hundred thirty-one thousand, two hundred".