212102112100000 has 72 divisors (see below), whose sum is σ = 521936635659516. Its totient is φ = 84840844800000.

The previous prime is 212102112099991. The next prime is 212102112100019. The reversal of 212102112100000 is 1211201212.

212102112100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1804433397264 + 210297678702736 = 1343292^2 + 14501644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1060410561 + ... + 1060610560.

Almost surely, 2^{212102112100000} is an apocalyptic number.

212102112100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102112100000 is an abundant number, since it is smaller than the sum of its proper divisors (309834523559516).

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

212102112100000 is an frugal number, since it uses more digits than its factorization.

212102112100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121021156 (or 2121021128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212102112100000 its reverse (1211201212), we get a palindrome (212103323301212).

The spelling of 212102112100000 in words is "two hundred twelve trillion, one hundred two billion, one hundred twelve million, one hundred thousand".