101111001000021 has 6 divisors (see below), whose sum is σ = 146049223666710. Its totient is φ = 67407334000008.

The previous prime is 101111001000013. The next prime is 101111001000041. The reversal of 101111001000021 is 120000100111101.

It can be written as a sum of positive squares in only one way, i.e., 71815963824900 + 29295037175121 = 8474430^2 + 5412489^2 .

It is not a de Polignac number, because 101111001000021 - 2³ = 101111001000013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11234555666669 = 101111001000021 / (1 + 0 + 1 + 1 + 1 + 1 + 0 + 0 + 1 + 0 + 0 + 0 + 0 + 2 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 101111000999967 and 101111001000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111001000041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5617277833326 + ... + 5617277833343.

It is an arithmetic number, because the mean of its divisors is an integer number (24341537277785).

Almost surely, 2^{101111001000021} is an apocalyptic number.

It is an amenable number.

101111001000021 is a deficient number, since it is larger than the sum of its proper divisors (44938222666689).

101111001000021 is a wasteful number, since it uses less digits than its factorization.

101111001000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11234555666675 (or 11234555666672 counting only the distinct ones).

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

Adding to 101111001000021 its reverse (120000100111101), we get a palindrome (221111101111122).

The spelling of 101111001000021 in words is "one hundred one trillion, one hundred eleven billion, one million, twenty-one", and thus it is an aban number.