21112022122101 has 80 divisors (see below), whose sum is σ = 32289401556720. Its totient is φ = 13743856051200.

The previous prime is 21112022122043. The next prime is 21112022122117. The reversal of 21112022122101 is 10122122021112.

21112022122101 is a `hidden beast` number, since 211 + 1 + 20 + 221 + 2 + 210 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5036653574001 + 16075368548100 = 2244249^2 + 4009410^2 .

It is not a de Polignac number, because 21112022122101 - 2²³ = 21112013733493 is a prime.

It is a super-2 number, since 2×21112022122101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112022122601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289022755 + ... + 289095791.

It is an arithmetic number, because the mean of its divisors is an integer number (403617519459).

Almost surely, 2^{21112022122101} is an apocalyptic number.

It is an amenable number.

21112022122101 is a deficient number, since it is larger than the sum of its proper divisors (11177379434619).

21112022122101 is a wasteful number, since it uses less digits than its factorization.

21112022122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73636 (or 73627 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112022122101 its reverse (10122122021112), we get a palindrome (31234144143213).

The spelling of 21112022122101 in words is "twenty-one trillion, one hundred twelve billion, twenty-two million, one hundred twenty-two thousand, one hundred one".