212100120202000 has 80 divisors (see below), whose sum is σ = 518620541540400. Its totient is φ = 83886789043200.

The previous prime is 212100120201971. The next prime is 212100120202127. The reversal of 212100120202000 is 202021001212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 138820425355264 + 73279694846736 = 11782208^2 + 8560356^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 595608855 + ... + 595964854.

It is an arithmetic number, because the mean of its divisors is an integer number (6482756769255).

Almost surely, 2^{212100120202000} is an apocalyptic number.

212100120202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100120202000 is an abundant number, since it is smaller than the sum of its proper divisors (306520421338400).

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

212100120202000 is a wasteful number, since it uses less digits than its factorization.

212100120202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191573821 (or 1191573805 counting only the distinct ones).

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

Adding to 212100120202000 its reverse (202021001212), we get a palindrome (212302141203212).

The spelling of 212100120202000 in words is "two hundred twelve trillion, one hundred billion, one hundred twenty million, two hundred two thousand".