201021210122000 has 320 divisors, whose sum is σ = 537680036275200. Its totient is φ = 72301685350400.

The previous prime is 201021210121909. The next prime is 201021210122093. The reversal of 201021210122000 is 221012120102.

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, 655944806 + ... + 656251194.

It is an arithmetic number, because the mean of its divisors is an integer number (1680250113360).

Almost surely, 2^{201021210122000} is an apocalyptic number.

201021210122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021210122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268840018137600).

201021210122000 is an abundant number, since it is smaller than the sum of its proper divisors (336658826153200).

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

201021210122000 is a wasteful number, since it uses less digits than its factorization.

201021210122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307291 (or 307275 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201021210122000 its reverse (221012120102), we get a palindrome (201242222242102).

The spelling of 201021210122000 in words is "two hundred one trillion, twenty-one billion, two hundred ten million, one hundred twenty-two thousand".