212210221000100 has 72 divisors (see below), whose sum is σ = 462417033264648. Its totient is φ = 84530029363200.

The previous prime is 212210221000051. The next prime is 212210221000111. The reversal of 212210221000100 is 1000122012212.

It can be written as a sum of positive squares in 12 ways, for example, as 27288734195044 + 184921486805056 = 5223862^2 + 13598584^2 .

It is a super-2 number, since 2×212210221000100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1826553212 + ... + 1826669388.

Almost surely, 2^{212210221000100} is an apocalyptic number.

212210221000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210221000100 is an abundant number, since it is smaller than the sum of its proper divisors (250206812264548).

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

212210221000100 is a wasteful number, since it uses less digits than its factorization.

212210221000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192225 (or 192218 counting only the distinct ones).

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

Adding to 212210221000100 its reverse (1000122012212), we get a palindrome (213210343012312).

The spelling of 212210221000100 in words is "two hundred twelve trillion, two hundred ten billion, two hundred twenty-one million, one hundred", and thus it is an aban number.