2101211121200 has 60 divisors (see below), whose sum is σ = 5155567418400. Its totient is φ = 822601793280.

The previous prime is 2101211121193. The next prime is 2101211121221. The reversal of 2101211121200 is 21211121012.

It is a super-2 number, since 2×2101211121200² (a number of 25 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, 55864475 + ... + 55902074.

It is an arithmetic number, because the mean of its divisors is an integer number (85926123640).

Almost surely, 2^{2101211121200} is an apocalyptic number.

2101211121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101211121200 is an abundant number, since it is smaller than the sum of its proper divisors (3054356297200).

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

2101211121200 is a wasteful number, since it uses less digits than its factorization.

2101211121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111766614 (or 111766603 counting only the distinct ones).

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

Adding to 2101211121200 its reverse (21211121012), we get a palindrome (2122422242212).

The spelling of 2101211121200 in words is "two trillion, one hundred one billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".