201121011021200 has 30 divisors (see below), whose sum is σ = 483193228979394. Its totient is φ = 80448404408320.

The previous prime is 201121011021169. The next prime is 201121011021223. The reversal of 201121011021200 is 2120110121102.

201121011021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 13199793455104 + 187921217566096 = 3633152^2 + 13708436^2 .

It is a super-2 number, since 2×201121011021200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 251401263377 + ... + 251401264176.

Almost surely, 2^{201121011021200} is an apocalyptic number.

201121011021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121011021200 is an abundant number, since it is smaller than the sum of its proper divisors (282072217958194).

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

201121011021200 is a wasteful number, since it uses less digits than its factorization.

201121011021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502802527571 (or 502802527560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201121011021200 its reverse (2120110121102), we get a palindrome (203241121142302).

The spelling of 201121011021200 in words is "two hundred one trillion, one hundred twenty-one billion, eleven million, twenty-one thousand, two hundred".