201011022112000 has 72 divisors (see below), whose sum is σ = 500743582538472. Its totient is φ = 80404408832000.

The previous prime is 201011022111959. The next prime is 201011022112007. The reversal of 201011022112000 is 211220110102.

It can be written as a sum of positive squares in 4 ways, for example, as 10993839964416 + 190017182147584 = 3315696^2 + 13784672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011022112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3140765221 + ... + 3140829220.

It is an arithmetic number, because the mean of its divisors is an integer number (6954771979701).

Almost surely, 2^{201011022112000} is an apocalyptic number.

201011022112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011022112000 is an abundant number, since it is smaller than the sum of its proper divisors (299732560426472).

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

201011022112000 is an frugal number, since it uses more digits than its factorization.

201011022112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281594472 (or 6281594448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201011022112000 its reverse (211220110102), we get a palindrome (201222242222102).

The spelling of 201011022112000 in words is "two hundred one trillion, eleven billion, twenty-two million, one hundred twelve thousand".