101100110100021 has 16 divisors (see below), whose sum is σ = 149782418956800. Its totient is φ = 67398058269504.

The previous prime is 101100110100007. The next prime is 101100110100049. The reversal of 101100110100021 is 120001011001101.

It is not a de Polignac number, because 101100110100021 - 2³⁰ = 101099036358197 is a prime.

It is a super-4 number, since 4×101100110100021⁴ (a number of 57 digits) contains 4444 as substring.

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 = 101100110099976 and 101100110100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100110100071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55055781 + ... + 56862458.

It is an arithmetic number, because the mean of its divisors is an integer number (9361401184800).

Almost surely, 2^{101100110100021} is an apocalyptic number.

It is an amenable number.

101100110100021 is a deficient number, since it is larger than the sum of its proper divisors (48682308856779).

101100110100021 is a wasteful number, since it uses less digits than its factorization.

101100110100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111951705 (or 111951699 counting only the distinct ones).

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

Adding to 101100110100021 its reverse (120001011001101), we get a palindrome (221101121101122).

The spelling of 101100110100021 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred thousand, twenty-one".