2212102120100 has 18 divisors (see below), whose sum is σ = 4800261600834. Its totient is φ = 884840848000.

The previous prime is 2212102120099. The next prime is 2212102120121. The reversal of 2212102120100 is 10212012122.

It can be written as a sum of positive squares in 3 ways, for example, as 5134756 + 2212096985344 = 2266^2 + 1487312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11060510501 + ... + 11060510700.

Almost surely, 2^{2212102120100} is an apocalyptic number.

2212102120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212102120100 is an abundant number, since it is smaller than the sum of its proper divisors (2588159480734).

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

2212102120100 is a wasteful number, since it uses less digits than its factorization.

2212102120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22121021215 (or 22121021208 counting only the distinct ones).

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

Adding to 2212102120100 its reverse (10212012122), we get a palindrome (2222314132222).

The spelling of 2212102120100 in words is "two trillion, two hundred twelve billion, one hundred two million, one hundred twenty thousand, one hundred".