122212022102001 has 224 divisors, whose sum is σ = 209036900553600. Its totient is φ = 70797124500480.

The previous prime is 122212022101997. The next prime is 122212022102041. The reversal of 122212022102001 is 100201220212221.

It is a happy number.

122212022102001 is a `hidden beast` number, since 1 + 2 + 221 + 20 + 221 + 0 + 200 + 1 = 666.

It is not a de Polignac number, because 122212022102001 - 2² = 122212022101997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122212022102041) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 19176526251 + ... + 19176532623.

It is an arithmetic number, because the mean of its divisors is an integer number (933200448900).

Almost surely, 2^{122212022102001} is an apocalyptic number.

It is an amenable number.

122212022102001 is a deficient number, since it is larger than the sum of its proper divisors (86824878451599).

122212022102001 is a wasteful number, since it uses less digits than its factorization.

122212022102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7083 (or 7068 counting only the distinct ones).

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

Adding to 122212022102001 its reverse (100201220212221), we get a palindrome (222413242314222).

The spelling of 122212022102001 in words is "one hundred twenty-two trillion, two hundred twelve billion, twenty-two million, one hundred two thousand, one".