121101122120121 has 72 divisors (see below), whose sum is σ = 207090304424640. Its totient is φ = 67739549866560.

The previous prime is 121101122120113. The next prime is 121101122120123. The reversal of 121101122120121 is 121021221101121.

It is a happy number.

121101122120121 is a `hidden beast` number, since 1 + 211 + 0 + 11 + 221 + 201 + 21 = 666.

It is not a de Polignac number, because 121101122120121 - 2³ = 121101122120113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121101122120094 and 121101122120103.

It is not an unprimeable number, because it can be changed into a prime (121101122120123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102859860 + ... + 104030538.

It is an arithmetic number, because the mean of its divisors is an integer number (2876254228120).

Almost surely, 2^{121101122120121} is an apocalyptic number.

121101122120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121101122120121 is a deficient number, since it is larger than the sum of its proper divisors (85989182304519).

121101122120121 is a wasteful number, since it uses less digits than its factorization.

121101122120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178027 (or 1178013 counting only the distinct ones).

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

Adding to 121101122120121 its reverse (121021221101121), we get a palindrome (242122343221242).

The spelling of 121101122120121 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty-one".