122221100120121 has 12 divisors (see below), whose sum is σ = 176839298326548. Its totient is φ = 81343329137664.

The previous prime is 122221100120107. The next prime is 122221100120143. The reversal of 122221100120121 is 121021001122221.

122221100120121 is a `hidden beast` number, since 122 + 221 + 100 + 1 + 201 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90617757880896 + 31603342239225 = 9519336^2 + 5621685^2 .

It is not a de Polignac number, because 122221100120121 - 2⁹ = 122221100119609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122221100120094 and 122221100120103.

It is not an unprimeable number, because it can be changed into a prime (122221100124121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11450350680 + ... + 11450361353.

It is an arithmetic number, because the mean of its divisors is an integer number (14736608193879).

Almost surely, 2^{122221100120121} is an apocalyptic number.

It is an amenable number.

122221100120121 is a deficient number, since it is larger than the sum of its proper divisors (54618198206427).

122221100120121 is a wasteful number, since it uses less digits than its factorization.

122221100120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22900712632 (or 22900712629 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122221100120121 its reverse (121021001122221), we get a palindrome (243242101242342).

The spelling of 122221100120121 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred million, one hundred twenty thousand, one hundred twenty-one".