122102101122001 has 96 divisors (see below), whose sum is σ = 172993002594048. Its totient is φ = 83197237294080.

The previous prime is 122102101121981. The next prime is 122102101122011. The reversal of 122102101122001 is 100221101201221.

It is not a de Polignac number, because 122102101122001 - 2²⁹ = 122101564251089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122102101122011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43249255 + ... + 45985891.

It is an arithmetic number, because the mean of its divisors is an integer number (1802010443688).

Almost surely, 2^{122102101122001} is an apocalyptic number.

122102101122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122102101122001 is a deficient number, since it is larger than the sum of its proper divisors (50890901472047).

122102101122001 is a wasteful number, since it uses less digits than its factorization.

122102101122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736779 (or 2736750 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122102101122001 its reverse (100221101201221), we get a palindrome (222323202323222).

The spelling of 122102101122001 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred one million, one hundred twenty-two thousand, one".