101100112111021 has 8 divisors (see below), whose sum is σ = 110090866183200. Its totient is φ = 92476327592880.

The previous prime is 101100112111007. The next prime is 101100112111123. The reversal of 101100112111021 is 120111211001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101100112111021 - 2¹¹ = 101100112108973 is a prime.

It is a super-2 number, since 2×101100112111021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100112110992 and 101100112111010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100112114021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91742387935 + ... + 91742389036.

It is an arithmetic number, because the mean of its divisors is an integer number (13761358272900).

Almost surely, 2^{101100112111021} is an apocalyptic number.

It is an amenable number.

101100112111021 is a deficient number, since it is larger than the sum of its proper divisors (8990754072179).

101100112111021 is a wasteful number, since it uses less digits than its factorization.

101100112111021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183484777019.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101100112111021 its reverse (120111211001101), we get a palindrome (221211323112122).

The spelling of 101100112111021 in words is "one hundred one trillion, one hundred billion, one hundred twelve million, one hundred eleven thousand, twenty-one".