101100111000021 has 144 divisors (see below), whose sum is σ = 174784788472320. Its totient is φ = 56107806693120.

The previous prime is 101100111000013. The next prime is 101100111000029. The reversal of 101100111000021 is 120000111001101.

It is an interprime number because it is at equal distance from previous prime (101100111000013) and next prime (101100111000029).

It is not a de Polignac number, because 101100111000021 - 2³ = 101100111000013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101100110999967 and 101100111000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100111000029) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27495269035 + ... + 27495272711.

It is an arithmetic number, because the mean of its divisors is an integer number (1213783253280).

Almost surely, 2^{101100111000021} is an apocalyptic number.

It is an amenable number.

101100111000021 is a deficient number, since it is larger than the sum of its proper divisors (73684677472299).

101100111000021 is a wasteful number, since it uses less digits than its factorization.

101100111000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6344 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101100111000021 its reverse (120000111001101), we get a palindrome (221100222001122).

The spelling of 101100111000021 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, twenty-one", and thus it is an aban number.