212120122210100 has 72 divisors (see below), whose sum is σ = 495765881687160. Its totient is φ = 78312195233280.

The previous prime is 212120122210097. The next prime is 212120122210111. The reversal of 212120122210100 is 1012221021212.

It can be written as a sum of positive squares in 12 ways, for example, as 31333058588836 + 180787063621264 = 5597594^2 + 13445708^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1762994 + ... + 20672406.

It is an arithmetic number, because the mean of its divisors is an integer number (6885637245655).

Almost surely, 2^{212120122210100} is an apocalyptic number.

212120122210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120122210100 is an abundant number, since it is smaller than the sum of its proper divisors (283645759477060).

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

212120122210100 is a wasteful number, since it uses less digits than its factorization.

212120122210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18918069 (or 18918062 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212120122210100 its reverse (1012221021212), we get a palindrome (213132343231312).

The spelling of 212120122210100 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred twenty-two million, two hundred ten thousand, one hundred".