2112222010200 has 96 divisors (see below), whose sum is σ = 6594995601600. Its totient is φ = 559206956160.

The previous prime is 2112222010181. The next prime is 2112222010273. The reversal of 2112222010200 is 20102222112.

It is a super-2 number, since 2×2112222010200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2112222010200.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12579802 + ... + 12746601.

It is an arithmetic number, because the mean of its divisors is an integer number (68697870850).

Almost surely, 2^{2112222010200} is an apocalyptic number.

2112222010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112222010200 is an abundant number, since it is smaller than the sum of its proper divisors (4482773591400).

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

2112222010200 is a wasteful number, since it uses less digits than its factorization.

2112222010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25326561 (or 25326552 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2112222010200 its reverse (20102222112), we get a palindrome (2132324232312).

The spelling of 2112222010200 in words is "two trillion, one hundred twelve billion, two hundred twenty-two million, ten thousand, two hundred".