212002121953 has 2 divisors, whose sum is σ = 212002121954. Its totient is φ = 212002121952.

The previous prime is 212002121899. The next prime is 212002122043. The reversal of 212002121953 is 359121200212.

212002121953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209262332304 + 2739789649 = 457452^2 + 52343^2 .

It is a cyclic number.

It is not a de Polignac number, because 212002121953 - 2³⁷ = 74563168481 is a prime.

It is not a weakly prime, because it can be changed into another prime (212002121753) by changing a digit.

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 as a sum of consecutive naturals, namely, 106001060976 + 106001060977.

It is an arithmetic number, because the mean of its divisors is an integer number (106001060977).

Almost surely, 2^212002121953 is an apocalyptic number.

It is an amenable number.

212002121953 is a deficient number, since it is larger than the sum of its proper divisors (1).

212002121953 is an equidigital number, since it uses as much as digits as its factorization.

212002121953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 212002121953 in words is "two hundred twelve billion, two million, one hundred twenty-one thousand, nine hundred fifty-three".