201213958909800 has 384 divisors, whose sum is σ = 650712632976000. Its totient is φ = 51370946457600.

The previous prime is 201213958909783. The next prime is 201213958909819. The reversal of 201213958909800 is 8909859312102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1985619934 + ... + 1985721266.

It is an arithmetic number, because the mean of its divisors is an integer number (1694564148375).

Almost surely, 2^{201213958909800} is an apocalyptic number.

201213958909800 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 201213958909800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325356316488000).

201213958909800 is an abundant number, since it is smaller than the sum of its proper divisors (449498674066200).

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

201213958909800 is a wasteful number, since it uses less digits than its factorization.

201213958909800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102341 (or 102332 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 57.

The spelling of 201213958909800 in words is "two hundred one trillion, two hundred thirteen billion, nine hundred fifty-eight million, nine hundred nine thousand, eight hundred".