201102101121200 has 60 divisors (see below), whose sum is σ = 483149174208120. Its totient is φ = 80440611310080.

The previous prime is 201102101121151. The next prime is 201102101121221. The reversal of 201102101121200 is 2121101201102.

201102101121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201102101121200² (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 11 ways as a sum of consecutive naturals, for example, 246047612 + ... + 246863588.

It is an arithmetic number, because the mean of its divisors is an integer number (8052486236802).

Almost surely, 2^{201102101121200} is an apocalyptic number.

201102101121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201102101121200 is an abundant number, since it is smaller than the sum of its proper divisors (282047073086920).

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

201102101121200 is a wasteful number, since it uses less digits than its factorization.

201102101121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432134 (or 1432123 counting only the distinct ones).

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

Adding to 201102101121200 its reverse (2121101201102), we get a palindrome (203223202322302).

The spelling of 201102101121200 in words is "two hundred one trillion, one hundred two billion, one hundred one million, one hundred twenty-one thousand, two hundred".