10100111101100 has 18 divisors (see below), whose sum is σ = 21917241089604. Its totient is φ = 4040044440400.

The previous prime is 10100111101061. The next prime is 10100111101117. The reversal of 10100111101100 is 110111100101.

10100111101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50500555406 + ... + 50500555605.

It is an arithmetic number, because the mean of its divisors is an integer number (1217624504978).

Almost surely, 2^{10100111101100} is an apocalyptic number.

10100111101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100111101100 is an abundant number, since it is smaller than the sum of its proper divisors (11817129988504).

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

10100111101100 is a wasteful number, since it uses less digits than its factorization.

10100111101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101001111025 (or 101001111018 counting only the distinct ones).

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

Adding to 10100111101100 its reverse (110111100101), we get a palindrome (10210222201201).

Subtracting from 10100111101100 its reverse (110111100101), we obtain a palindrome (9990000000999).

The spelling of 10100111101100 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred one thousand, one hundred".