212521922001 has 27 divisors (see below), whose sum is σ = 317262001563. Its totient is φ = 137083257360.

The previous prime is 212521921991. The next prime is 212521922051. The reversal of 212521922001 is 100229125212.

It is a happy number.

The square root of 212521922001 is 461001.

It is a perfect power (a square), and thus also a powerful number.

212521922001 is a `hidden beast` number, since 21 + 252 + 192 + 200 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 180238457025 + 32283464976 = 424545^2 + 179676^2 .

It is not a de Polignac number, because 212521922001 - 2²¹ = 212519824849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212521922051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42870615 + ... + 42875571.

Almost surely, 2^212521922001 is an apocalyptic number.

212521922001 is the 461001-st square number.

212521922001 is the 230501-st centered octagonal number.

It is an amenable number.

212521922001 is a deficient number, since it is larger than the sum of its proper divisors (104740079562).

212521922001 is an frugal number, since it uses more digits than its factorization.

212521922001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9982 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 212521922001 in words is "two hundred twelve billion, five hundred twenty-one million, nine hundred twenty-two thousand, one".