101112110000021 has 8 divisors (see below), whose sum is σ = 101328165871800. Its totient is φ = 100896122393280.

The previous prime is 101112109999951. The next prime is 101112110000093. The reversal of 101112110000021 is 120000011211101.

It can be written as a sum of positive squares in 4 ways, for example, as 69524495278225 + 31587614721796 = 8338135^2 + 5620286^2 .

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 101112110000021 - 2²² = 101112105805717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112109999957 and 101112110000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112110002021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14100206 + ... + 20025983.

It is an arithmetic number, because the mean of its divisors is an integer number (12666020733975).

Almost surely, 2^{101112110000021} is an apocalyptic number.

It is an amenable number.

101112110000021 is a deficient number, since it is larger than the sum of its proper divisors (216055871779).

101112110000021 is an equidigital number, since it uses as much as digits as its factorization.

101112110000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34132519.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101112110000021 its reverse (120000011211101), we get a palindrome (221112121211122).

The spelling of 101112110000021 in words is "one hundred one trillion, one hundred twelve billion, one hundred ten million, twenty-one", and thus it is an aban number.