101111110000100 has 72 divisors (see below), whose sum is σ = 219515805505920. Its totient is φ = 40425149623680.

The previous prime is 101111110000097. The next prime is 101111110000163. The reversal of 101111110000100 is 1000011111101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2130470171 + ... + 2130517629.

Almost surely, 2^{101111110000100} is an apocalyptic number.

101111110000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111110000100 is an abundant number, since it is smaller than the sum of its proper divisors (118404695505820).

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

101111110000100 is a wasteful number, since it uses less digits than its factorization.

101111110000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57189 (or 57182 counting only the distinct ones).

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

Adding to 101111110000100 its reverse (1000011111101), we get a palindrome (102111121111201).

It can be divided in two parts, 1011 and 11110000100, that added together give a palindrome (11110001111).

The spelling of 101111110000100 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred", and thus it is an aban number.