10000212222100 has 36 divisors (see below), whose sum is σ = 21700825001884. Its totient is φ = 4000017703680.

The previous prime is 10000212222097. The next prime is 10000212222173. The reversal of 10000212222100 is 122221200001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 317336182276 + 9682876039824 = 563326^2 + 3111732^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5372392 + ... + 6990208.

Almost surely, 2^{10000212222100} is an apocalyptic number.

10000212222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000212222100 is an abundant number, since it is smaller than the sum of its proper divisors (11700612779784).

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

10000212222100 is a wasteful number, since it uses less digits than its factorization.

10000212222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679644 (or 1679637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10000212222100 its reverse (122221200001), we get a palindrome (10122433422101).

The spelling of 10000212222100 in words is "ten trillion, two hundred twelve million, two hundred twenty-two thousand, one hundred".