122101104772416 has 112 divisors (see below), whose sum is σ = 402775072934400. Its totient is φ = 31714572664320.

The previous prime is 122101104772399. The next prime is 122101104772441. The reversal of 122101104772416 is 614277401101221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4129486866 + ... + 4129516433.

Almost surely, 2^{122101104772416} is an apocalyptic number.

122101104772416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122101104772416 is an abundant number, since it is smaller than the sum of its proper divisors (280673968161984).

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

122101104772416 is a wasteful number, since it uses less digits than its factorization.

122101104772416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259003332 (or 8259003322 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

Adding to 122101104772416 its reverse (614277401101221), we get a palindrome (736378505873637).

The spelling of 122101104772416 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred four million, seven hundred seventy-two thousand, four hundred sixteen".