2112200100010 has 384 divisors, whose sum is σ = 5344224334848. Its totient is φ = 590478336000.

The previous prime is 2112200099983. The next prime is 2112200100071. The reversal of 2112200100010 is 100010022112.

It is a super-2 number, since 2×2112200100010² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2112200100010.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 778546414 + ... + 778549126.

It is an arithmetic number, because the mean of its divisors is an integer number (13917250872).

Almost surely, 2^{2112200100010} is an apocalyptic number.

2112200100010 is an abundant number, since it is smaller than the sum of its proper divisors (3232024234838).

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

2112200100010 is a wasteful number, since it uses less digits than its factorization.

2112200100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2112200100010 its reverse (100010022112), we get a palindrome (2212210122122).

The spelling of 2112200100010 in words is "two trillion, one hundred twelve billion, two hundred million, one hundred thousand, ten".