100111010110100 has 72 divisors (see below), whose sum is σ = 245162135181600. Its totient is φ = 35148693193600.

The previous prime is 100111010110073. The next prime is 100111010110103. The reversal of 100111010110100 is 1011010111001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111010110103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1569106190 + ... + 1569169989.

It is an arithmetic number, because the mean of its divisors is an integer number (3405029655300).

Almost surely, 2^{100111010110100} is an apocalyptic number.

100111010110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111010110100 is an abundant number, since it is smaller than the sum of its proper divisors (145051125071500).

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

100111010110100 is a wasteful number, since it uses less digits than its factorization.

100111010110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138276233 (or 3138276226 counting only the distinct ones).

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

Adding to 100111010110100 its reverse (1011010111001), we get a palindrome (101122020221101).

Subtracting from 100111010110100 its reverse (1011010111001), we obtain a palindrome (99099999999099).

The spelling of 100111010110100 in words is "one hundred trillion, one hundred eleven billion, ten million, one hundred ten thousand, one hundred".