100111011000100 has 36 divisors (see below), whose sum is σ = 218189544111700. Its totient is φ = 39869537996160.

The previous prime is 100111011000083. The next prime is 100111011000137. The reversal of 100111011000100 is 1000110111001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6655791133924 + 93455219866176 = 2579882^2 + 9667224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2185807035 + ... + 2185852834.

Almost surely, 2^{100111011000100} is an apocalyptic number.

100111011000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111011000100 is an abundant number, since it is smaller than the sum of its proper divisors (118078533111600).

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

100111011000100 is a wasteful number, since it uses less digits than its factorization.

100111011000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371660112 (or 4371660105 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100111011000100 its reverse (1000110111001), we get a palindrome (101111121111101).

The spelling of 100111011000100 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred", and thus it is an aban number.