201000202200000 has 504 divisors, whose sum is σ = 822991359494304. Its totient is φ = 45942900480000.

The previous prime is 201000202199941. The next prime is 201000202200053. The reversal of 201000202200000 is 2202000102.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4623802 + ... + 20576198.

It is an arithmetic number, because the mean of its divisors is an integer number (1632919364076).

Almost surely, 2^{201000202200000} is an apocalyptic number.

201000202200000 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 201000202200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411495679747152).

201000202200000 is an abundant number, since it is smaller than the sum of its proper divisors (621991157294304).

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

201000202200000 is an equidigital number, since it uses as much as digits as its factorization.

201000202200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15952447 (or 15952414 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 201000202200000 its reverse (2202000102), we get a palindrome (201002404200102).

The spelling of 201000202200000 in words is "two hundred one trillion, two hundred two million, two hundred thousand".