21112112012101 has 32 divisors (see below), whose sum is σ = 23525163279360. Its totient is φ = 18785777472000.

The previous prime is 21112112012093. The next prime is 21112112012143. The reversal of 21112112012101 is 10121021121112.

It is not a de Polignac number, because 21112112012101 - 2³ = 21112112012093 is a prime.

It is a super-2 number, since 2×21112112012101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112112012401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630139116 + ... + 630172618.

It is an arithmetic number, because the mean of its divisors is an integer number (735161352480).

Almost surely, 2^{21112112012101} is an apocalyptic number.

It is an amenable number.

21112112012101 is a deficient number, since it is larger than the sum of its proper divisors (2413051267259).

21112112012101 is a wasteful number, since it uses less digits than its factorization.

21112112012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40077.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 21112112012101 its reverse (10121021121112), we get a palindrome (31233133133213).

The spelling of 21112112012101 in words is "twenty-one trillion, one hundred twelve billion, one hundred twelve million, twelve thousand, one hundred one".