201000122122000 has 40 divisors (see below), whose sum is σ = 486018295295832. Its totient is φ = 80400048848000.

The previous prime is 201000122121989. The next prime is 201000122122013. The reversal of 201000122122000 is 221221000102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64659096223744 + 136341025898256 = 8041088^2 + 11676516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50250028531 + ... + 50250032530.

Almost surely, 2^{201000122122000} is an apocalyptic number.

201000122122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000122122000 is an abundant number, since it is smaller than the sum of its proper divisors (285018173173832).

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

201000122122000 is a wasteful number, since it uses less digits than its factorization.

201000122122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100500061084 (or 100500061068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201000122122000 its reverse (221221000102), we get a palindrome (201221343122102).

The spelling of 201000122122000 in words is "two hundred one trillion, one hundred twenty-two million, one hundred twenty-two thousand".