100100101200 has 120 divisors (see below), whose sum is σ = 349804399776. Its totient is φ = 24266688000.

The previous prime is 100100101181. The next prime is 100100101237. The reversal of 100100101200 is 2101001001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3778471 + ... + 3804870.

Almost surely, 2^100100101200 is an apocalyptic number.

100100101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100101200 is an abundant number, since it is smaller than the sum of its proper divisors (249704298576).

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

100100101200 is a wasteful number, since it uses less digits than its factorization.

100100101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583373 (or 7583362 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100100101200 its reverse (2101001001), we get a palindrome (102201102201).

The spelling of 100100101200 in words is "one hundred billion, one hundred million, one hundred one thousand, two hundred".