122201102012121 has 24 divisors (see below), whose sum is σ = 192572665361856. Its totient is φ = 74056138139040.

The previous prime is 122201102012063. The next prime is 122201102012141. The reversal of 122201102012121 is 121210201102221.

122201102012121 is a `hidden beast` number, since 12 + 220 + 110 + 201 + 2 + 121 = 666.

It is not a de Polignac number, because 122201102012121 - 2⁹ = 122201102011609 is a prime.

It is a super-2 number, since 2×122201102012121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122201102012094 and 122201102012103.

It is not an unprimeable number, because it can be changed into a prime (122201102012141) 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, 41363310 + ... + 44219063.

It is an arithmetic number, because the mean of its divisors is an integer number (8023861056744).

Almost surely, 2^{122201102012121} is an apocalyptic number.

122201102012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122201102012121 is a deficient number, since it is larger than the sum of its proper divisors (70371563349735).

122201102012121 is a wasteful number, since it uses less digits than its factorization.

122201102012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85596813 (or 85596810 counting only the distinct ones).

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

Adding to 122201102012121 its reverse (121210201102221), we get a palindrome (243411303114342).

The spelling of 122201102012121 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred two million, twelve thousand, one hundred twenty-one".