2121002112200 has 24 divisors (see below), whose sum is σ = 4931329911330. Its totient is φ = 848400844800.

The previous prime is 2121002112199. The next prime is 2121002112217. The reversal of 2121002112200 is 22112001212.

It can be written as a sum of positive squares in 3 ways, for example, as 1546526036836 + 574476075364 = 1243594^2 + 757942^2 .

It is a super-2 number, since 2×2121002112200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5302505081 + ... + 5302505480.

Almost surely, 2^{2121002112200} is an apocalyptic number.

2121002112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121002112200 is an abundant number, since it is smaller than the sum of its proper divisors (2810327799130).

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

2121002112200 is a wasteful number, since it uses less digits than its factorization.

2121002112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605010577 (or 10605010568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2121002112200 its reverse (22112001212), we get a palindrome (2143114113412).

The spelling of 2121002112200 in words is "two trillion, one hundred twenty-one billion, two million, one hundred twelve thousand, two hundred".