122220010112121 has 24 divisors (see below), whose sum is σ = 178301237591880. Its totient is φ = 80667254976000.

The previous prime is 122220010112119. The next prime is 122220010112141. The reversal of 122220010112121 is 121211010022221.

122220010112121 is a `hidden beast` number, since 1 + 222 + 200 + 10 + 112 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90207046112121 + 32012964000000 = 9497739^2 + 5658000^2 .

It is not a de Polignac number, because 122220010112121 - 2¹ = 122220010112119 is a prime.

It is a super-2 number, since 2×122220010112121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122220010112094 and 122220010112103.

It is not an unprimeable number, because it can be changed into a prime (122220010112111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7190545 + ... + 17208833.

It is an arithmetic number, because the mean of its divisors is an integer number (7429218232995).

Almost surely, 2^{122220010112121} is an apocalyptic number.

It is an amenable number.

122220010112121 is a deficient number, since it is larger than the sum of its proper divisors (56081227479759).

122220010112121 is a wasteful number, since it uses less digits than its factorization.

122220010112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10031817 (or 10031814 counting only the distinct ones).

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

Adding to 122220010112121 its reverse (121211010022221), we get a palindrome (243431020134342).

The spelling of 122220010112121 in words is "one hundred twenty-two trillion, two hundred twenty billion, ten million, one hundred twelve thousand, one hundred twenty-one".