100100201310000 has 150 divisors (see below), whose sum is σ = 350064863213780. Its totient is φ = 26693386992000.

The previous prime is 100100201309963. The next prime is 100100201310007. The reversal of 100100201310000 is 13102001001.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×100100201310000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100100201310007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 556022230 + ... + 556202229.

Almost surely, 2^{100100201310000} is an apocalyptic number.

100100201310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100201310000 is an abundant number, since it is smaller than the sum of its proper divisors (249964661903780).

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

100100201310000 is a wasteful number, since it uses less digits than its factorization.

100100201310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112224493 (or 1112224469 counting only the distinct ones).

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

Adding to 100100201310000 its reverse (13102001001), we get a palindrome (100113303311001).

The spelling of 100100201310000 in words is "one hundred trillion, one hundred billion, two hundred one million, three hundred ten thousand".