201122122000122 has 64 divisors (see below), whose sum is σ = 449821320192000. Its totient is φ = 66609065522160.

The previous prime is 201122122000099. The next prime is 201122122000139. The reversal of 201122122000122 is 221000221221102.

It is a happy number.

201122122000122 is a `hidden beast` number, since 20 + 112 + 212 + 200 + 0 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201122122000095 and 201122122000104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3259872 + ... + 20319227.

It is an arithmetic number, because the mean of its divisors is an integer number (7028458128000).

Almost surely, 2^{201122122000122} is an apocalyptic number.

201122122000122 is an abundant number, since it is smaller than the sum of its proper divisors (248699198191878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201122122000122 is a wasteful number, since it uses less digits than its factorization.

201122122000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23580128 (or 23580122 counting only the distinct ones).

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

Adding to 201122122000122 its reverse (221000221221102), we get a palindrome (422122343221224).

The spelling of 201122122000122 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two", and thus it is an aban number.