122122110122100 has 108 divisors (see below), whose sum is σ = 417583603251360. Its totient is φ = 29605360027200.

The previous prime is 122122110122087. The next prime is 122122110122189. The reversal of 122122110122100 is 1221011221221.

122122110122100 is a `hidden beast` number, since 1 + 221 + 221 + 1 + 0 + 1 + 221 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6167773440 + ... + 6167793239.

It is an arithmetic number, because the mean of its divisors is an integer number (3866514844920).

Almost surely, 2^{122122110122100} is an apocalyptic number.

122122110122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122110122100 is an abundant number, since it is smaller than the sum of its proper divisors (295461493129260).

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

122122110122100 is a wasteful number, since it uses less digits than its factorization.

122122110122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335566710 (or 12335566700 counting only the distinct ones).

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

Adding to 122122110122100 its reverse (1221011221221), we get a palindrome (123343121343321).

The spelling of 122122110122100 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty-two thousand, one hundred".