100100111100100 has 18 divisors (see below), whose sum is σ = 217217241087434. Its totient is φ = 40040044440000.

The previous prime is 100100111100029. The next prime is 100100111100127. The reversal of 100100111100100 is 1001111001001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14674308458436 + 85425802641664 = 3830706^2 + 9242608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500500555401 + ... + 500500555600.

Almost surely, 2^{100100111100100} is an apocalyptic number.

100100111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100111100100 is an abundant number, since it is smaller than the sum of its proper divisors (117117129987334).

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

100100111100100 is a wasteful number, since it uses less digits than its factorization.

100100111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001001111015 (or 1001001111008 counting only the distinct ones).

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

Adding to 100100111100100 its reverse (1001111001001), we get a palindrome (101101222101101).

Subtracting from 100100111100100 its reverse (1001111001001), we obtain a palindrome (99099000099099).

The spelling of 100100111100100 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred thousand, one hundred".