201121331200002 has 12 divisors (see below), whose sum is σ = 435762884266710. Its totient is φ = 67040443733328.

The previous prime is 201121331199983. The next prime is 201121331200003. The reversal of 201121331200002 is 200002133121102.

201121331200002 is a `hidden beast` number, since 20 + 112 + 1 + 331 + 200 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 187801013810601 + 13320317389401 = 13704051^2 + 3649701^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11173407288889 = 201121331200002 / (2 + 0 + 1 + 1 + 2 + 1 + 3 + 3 + 1 + 2 + 0 + 0 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (201121331200003) 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 5 ways as a sum of consecutive naturals, for example, 5586703644427 + ... + 5586703644462.

Almost surely, 2^{201121331200002} is an apocalyptic number.

201121331200002 is an abundant number, since it is smaller than the sum of its proper divisors (234641553066708).

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

201121331200002 is a wasteful number, since it uses less digits than its factorization.

201121331200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173407288897 (or 11173407288894 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201121331200002 its reverse (200002133121102), we get a palindrome (401123464321104).

The spelling of 201121331200002 in words is "two hundred one trillion, one hundred twenty-one billion, three hundred thirty-one million, two hundred thousand, two".