100111110100100 has 36 divisors (see below), whose sum is σ = 236990300639568. Its totient is φ = 36404040036000.

The previous prime is 100111110100091. The next prime is 100111110100151. The reversal of 100111110100100 is 1001011111001.

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, 45505048946 + ... + 45505051145.

Almost surely, 2^{100111110100100} is an apocalyptic number.

100111110100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111110100100 is an abundant number, since it is smaller than the sum of its proper divisors (136879190539468).

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

100111110100100 is a wasteful number, since it uses less digits than its factorization.

100111110100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91010100116 (or 91010100109 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111110100100 its reverse (1001011111001), we get a palindrome (101112121211101).

It can be divided in two parts, 10011 and 1110100100, that added together give a palindrome (1110110111).

The spelling of 100111110100100 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, one hundred".