122112212100021 has 128 divisors (see below), whose sum is σ = 219509253089280. Its totient is φ = 66102199027200.

The previous prime is 122112212100019. The next prime is 122112212100049. The reversal of 122112212100021 is 120001212211221.

122112212100021 is a `hidden beast` number, since 1 + 2 + 211 + 221 + 210 + 0 + 0 + 21 = 666.

It is not a de Polignac number, because 122112212100021 - 2¹ = 122112212100019 is a prime.

It is a super-2 number, since 2×122112212100021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112212099967 and 122112212100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112212000021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14327481 + ... + 21201441.

It is an arithmetic number, because the mean of its divisors is an integer number (1714916039760).

Almost surely, 2^{122112212100021} is an apocalyptic number.

122112212100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122112212100021 is a deficient number, since it is larger than the sum of its proper divisors (97397040989259).

122112212100021 is a wasteful number, since it uses less digits than its factorization.

122112212100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874144 (or 6874138 counting only the distinct ones).

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

Adding to 122112212100021 its reverse (120001212211221), we get a palindrome (242113424311242).

The spelling of 122112212100021 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twelve million, one hundred thousand, twenty-one".