210200120021249 has 2 divisors, whose sum is σ = 210200120021250. Its totient is φ = 210200120021248.

The previous prime is 210200120021201. The next prime is 210200120021261. The reversal of 210200120021249 is 942120021002012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198223675531249 + 11976444490000 = 14079193^2 + 3460700^2 .

It is a cyclic number.

It is not a de Polignac number, because 210200120021249 - 2⁸ = 210200120020993 is a prime.

It is not a weakly prime, because it can be changed into another prime (210200120051249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105100060010624 + 105100060010625.

It is an arithmetic number, because the mean of its divisors is an integer number (105100060010625).

Almost surely, 2^{210200120021249} is an apocalyptic number.

It is an amenable number.

210200120021249 is a deficient number, since it is larger than the sum of its proper divisors (1).

210200120021249 is an equidigital number, since it uses as much as digits as its factorization.

210200120021249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 210200120021249 in words is "two hundred ten trillion, two hundred billion, one hundred twenty million, twenty-one thousand, two hundred forty-nine".