100100011100100 has 144 divisors (see below), whose sum is σ = 317210810708736. Its totient is φ = 24169989200000.

The previous prime is 100100011100081. The next prime is 100100011100171. The reversal of 100100011100100 is 1001110001001.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59596674 + ... + 61253273.

It is an arithmetic number, because the mean of its divisors is an integer number (2202852852144).

Almost surely, 2^{100100011100100} is an apocalyptic number.

100100011100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100011100100 is an abundant number, since it is smaller than the sum of its proper divisors (217110799608636).

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

100100011100100 is a wasteful number, since it uses less digits than its factorization.

100100011100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120850226 (or 120850219 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100011100100 its reverse (1001110001001), we get a palindrome (101101121101101).

The spelling of 100100011100100 in words is "one hundred trillion, one hundred billion, eleven million, one hundred thousand, one hundred".