212100000202120 has 16 divisors (see below), whose sum is σ = 477225000454860. Its totient is φ = 84840000080832.

The previous prime is 212100000202067. The next prime is 212100000202141. The reversal of 212100000202120 is 21202000001212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 207697615711524 + 4402384490596 = 14411718^2 + 2098186^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212100000202120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2651250002487 + ... + 2651250002566.

Almost surely, 2^{212100000202120} is an apocalyptic number.

212100000202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100000202120 is an abundant number, since it is smaller than the sum of its proper divisors (265125000252740).

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

212100000202120 is a wasteful number, since it uses less digits than its factorization.

212100000202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302500005064 (or 5302500005060 counting only the distinct ones).

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

Adding to 212100000202120 its reverse (21202000001212), we get a palindrome (233302000203332).

The spelling of 212100000202120 in words is "two hundred twelve trillion, one hundred billion, two hundred two thousand, one hundred twenty".