121112122120121 has 16 divisors (see below), whose sum is σ = 132690958133760. Its totient is φ = 109628071317120.

The previous prime is 121112122120061. The next prime is 121112122120123. The reversal of 121112122120121 is 121021221211121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 121112122120121 - 2¹⁴ = 121112122103737 is a prime.

It is a super-2 number, since 2×121112122120121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121112122120093 and 121112122120102.

It is not an unprimeable number, because it can be changed into a prime (121112122120123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259344791 + ... + 259811363.

It is an arithmetic number, because the mean of its divisors is an integer number (8293184883360).

Almost surely, 2^{121112122120121} is an apocalyptic number.

121112122120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121112122120121 is a deficient number, since it is larger than the sum of its proper divisors (11578836013639).

121112122120121 is a wasteful number, since it uses less digits than its factorization.

121112122120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568096.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 121112122120121 its reverse (121021221211121), we get a palindrome (242133343331242).

The spelling of 121112122120121 in words is "one hundred twenty-one trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty-one".