122021100122112 has 78 divisors (see below), whose sum is σ = 352462370014872. Its totient is φ = 40673700028416.

The previous prime is 122021100122111. The next prime is 122021100122149. The reversal of 122021100122112 is 211221001120221.

122021100122112 is a `hidden beast` number, since 1 + 220 + 211 + 0 + 0 + 1 + 221 + 12 = 666.

It is a super-2 number, since 2×122021100122112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021100122111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1654980228 + ... + 1655053955.

It is an arithmetic number, because the mean of its divisors is an integer number (4518748333524).

Almost surely, 2^{122021100122112} is an apocalyptic number.

122021100122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122021100122112 is an abundant number, since it is smaller than the sum of its proper divisors (230441269892760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122021100122112 is an equidigital number, since it uses as much as digits as its factorization.

122021100122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310034213 (or 3310034188 counting only the distinct ones).

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

Adding to 122021100122112 its reverse (211221001120221), we get a palindrome (333242101242333).

The spelling of 122021100122112 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".