201012211101200 has 60 divisors (see below), whose sum is σ = 490848752593668. Its totient is φ = 79086771571200.

The previous prime is 201012211101197. The next prime is 201012211101239. The reversal of 201012211101200 is 2101112210102.

It can be written as a sum of positive squares in 6 ways, for example, as 29584200426496 + 171428010674704 = 5439136^2 + 13093052^2 .

It is a super-3 number, since 3×201012211101200³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4119078287 + ... + 4119127086.

Almost surely, 2^{201012211101200} is an apocalyptic number.

201012211101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012211101200 is an abundant number, since it is smaller than the sum of its proper divisors (289836541492468).

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

201012211101200 is a wasteful number, since it uses less digits than its factorization.

201012211101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8238205452 (or 8238205441 counting only the distinct ones).

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

Adding to 201012211101200 its reverse (2101112210102), we get a palindrome (203113323311302).

The spelling of 201012211101200 in words is "two hundred one trillion, twelve billion, two hundred eleven million, one hundred one thousand, two hundred".