10100100011100 has 72 divisors (see below), whose sum is σ = 31879588409088. Its totient is φ = 2448509092800.

The previous prime is 10100100011077. The next prime is 10100100011107. The reversal of 10100100011100 is 111000100101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100011107) 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, 1530314884 + ... + 1530321483.

Almost surely, 2^{10100100011100} is an apocalyptic number.

10100100011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100100011100 is an abundant number, since it is smaller than the sum of its proper divisors (21779488397988).

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

10100100011100 is a wasteful number, since it uses less digits than its factorization.

10100100011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060636395 (or 3060636388 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100100011100 its reverse (111000100101), we get a palindrome (10211100111201).

The spelling of 10100100011100 in words is "ten trillion, one hundred billion, one hundred million, eleven thousand, one hundred".