201000122121000 has 256 divisors, whose sum is σ = 657773205672960. Its totient is φ = 51041777817600.

The previous prime is 201000122120977. The next prime is 201000122121011. The reversal of 201000122121000 is 121221000102.

201000122121000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14046957 + ... + 24480956.

It is an arithmetic number, because the mean of its divisors is an integer number (2569426584660).

Almost surely, 2^{201000122121000} is an apocalyptic number.

201000122121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000122121000 is an abundant number, since it is smaller than the sum of its proper divisors (456773083551960).

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

201000122121000 is a wasteful number, since it uses less digits than its factorization.

201000122121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38528021 (or 38528007 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201000122121000 its reverse (121221000102), we get a palindrome (201121343121102).

The spelling of 201000122121000 in words is "two hundred one trillion, one hundred twenty-two million, one hundred twenty-one thousand".