100110111100100 has 72 divisors (see below), whose sum is σ = 217304642237760. Its totient is φ = 40031936049280.

The previous prime is 100110111100079. The next prime is 100110111100169. The reversal of 100110111100100 is 1001111011001.

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, 8718108959 + ... + 8718120441.

It is an arithmetic number, because the mean of its divisors is an integer number (3018120031080).

Almost surely, 2^{100110111100100} is an apocalyptic number.

100110111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110111100100 is an abundant number, since it is smaller than the sum of its proper divisors (117194531137660).

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

100110111100100 is a wasteful number, since it uses less digits than its factorization.

100110111100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30269 (or 30262 counting only the distinct ones).

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

Adding to 100110111100100 its reverse (1001111011001), we get a palindrome (101111222111101).

It can be divided in two parts, 10011011 and 1100100, that added together give a palindrome (11111111).

The spelling of 100110111100100 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one hundred thousand, one hundred".