112101112100021 has 48 divisors (see below), whose sum is σ = 124043040102912. Its totient is φ = 101230915911840.

The previous prime is 112101112099943. The next prime is 112101112100069. The reversal of 112101112100021 is 120001211101211.

It is not a de Polignac number, because 112101112100021 - 2³⁰ = 112100038358197 is a prime.

It is a super-2 number, since 2×112101112100021² (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 = 112101112099969 and 112101112100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101112100071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21950479550 + ... + 21950484656.

It is an arithmetic number, because the mean of its divisors is an integer number (2584230002144).

Almost surely, 2^{112101112100021} is an apocalyptic number.

112101112100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112101112100021 is a deficient number, since it is larger than the sum of its proper divisors (11941928002891).

112101112100021 is a wasteful number, since it uses less digits than its factorization.

112101112100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302 (or 7291 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112101112100021 its reverse (120001211101211), we get a palindrome (232102323201232).

The spelling of 112101112100021 in words is "one hundred twelve trillion, one hundred one billion, one hundred twelve million, one hundred thousand, twenty-one".