122111100112122 has 128 divisors (see below), whose sum is σ = 296207024256000. Its totient is φ = 36980856763200.

The previous prime is 122111100111983. The next prime is 122111100112163. The reversal of 122111100112122 is 221211001111221.

It is a happy number.

It is a super-2 number, since 2×122111100112122² (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 junction number, because it is equal to n+sod(n) for n = 122111100112095 and 122111100112104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10970356497 + ... + 10970367627.

It is an arithmetic number, because the mean of its divisors is an integer number (2314117377000).

Almost surely, 2^{122111100112122} is an apocalyptic number.

122111100112122 is an abundant number, since it is smaller than the sum of its proper divisors (174095924143878).

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

122111100112122 is a wasteful number, since it uses less digits than its factorization.

122111100112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20729 (or 20723 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122111100112122 its reverse (221211001111221), we get a palindrome (343322101223343).

Subtracting 122111100112122 from its reverse (221211001111221), we obtain a palindrome (99099900999099).

The spelling of 122111100112122 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred million, one hundred twelve thousand, one hundred twenty-two".