122121101012121 has 48 divisors (see below), whose sum is σ = 185964406467840. Its totient is φ = 77011529401440.

The previous prime is 122121101012059. The next prime is 122121101012149. The reversal of 122121101012121 is 121210101121221.

It is a happy number.

It is not a de Polignac number, because 122121101012121 - 2¹⁷ = 122121100881049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122121101012094 and 122121101012103.

It is not an unprimeable number, because it can be changed into a prime (122121101012021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538598386 + ... + 538825076.

It is an arithmetic number, because the mean of its divisors is an integer number (3874258468080).

Almost surely, 2^{122121101012121} is an apocalyptic number.

It is an amenable number.

122121101012121 is a deficient number, since it is larger than the sum of its proper divisors (63843305455719).

122121101012121 is a wasteful number, since it uses less digits than its factorization.

122121101012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231506 (or 231503 counting only the distinct ones).

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

Adding to 122121101012121 its reverse (121210101121221), we get a palindrome (243331202133342).

The spelling of 122121101012121 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred one million, twelve thousand, one hundred twenty-one".