122221220121 has 96 divisors (see below), whose sum is σ = 241508397312. Its totient is φ = 57501550080.

The previous prime is 122221220119. The next prime is 122221220123. The reversal of 122221220121 is 121022122221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122221220119) and next prime (122221220123).

It is not a de Polignac number, because 122221220121 - 2¹ = 122221220119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122221220094 and 122221220103.

It is not an unprimeable number, because it can be changed into a prime (122221220123) 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, 349491 + ... + 605463.

It is an arithmetic number, because the mean of its divisors is an integer number (2515712472).

Almost surely, 2^122221220121 is an apocalyptic number.

122221220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122221220121 is a deficient number, since it is larger than the sum of its proper divisors (119287177191).

122221220121 is a wasteful number, since it uses less digits than its factorization.

122221220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256063 (or 256060 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122221220121 its reverse (121022122221), we get a palindrome (243243342342).

The spelling of 122221220121 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty-one".