101000100111100 has 18 divisors (see below), whose sum is σ = 219170217241304. Its totient is φ = 40400040044400.

The previous prime is 101000100111067. The next prime is 101000100111103. The reversal of 101000100111100 is 1111001000101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000100111103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505000500456 + ... + 505000500655.

Almost surely, 2^{101000100111100} is an apocalyptic number.

101000100111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000100111100 is an abundant number, since it is smaller than the sum of its proper divisors (118170117130204).

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

101000100111100 is a wasteful number, since it uses less digits than its factorization.

101000100111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010001001125 (or 1010001001118 counting only the distinct ones).

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

Adding to 101000100111100 its reverse (1111001000101), we get a palindrome (102111101111201).

The spelling of 101000100111100 in words is "one hundred one trillion, one hundred million, one hundred eleven thousand, one hundred".