10211211121249 has 2 divisors, whose sum is σ = 10211211121250. Its totient is φ = 10211211121248.

The previous prime is 10211211121217. The next prime is 10211211121259. The reversal of 10211211121249 is 94212111211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10022333961249 + 188877160000 = 3165807^2 + 434600^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211211121249 - 2⁵ = 10211211121217 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211211121259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105605560624 + 5105605560625.

It is an arithmetic number, because the mean of its divisors is an integer number (5105605560625).

Almost surely, 2^{10211211121249} is an apocalyptic number.

It is an amenable number.

10211211121249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211211121249 is an equidigital number, since it uses as much as digits as its factorization.

10211211121249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 10211211121249 in words is "ten trillion, two hundred eleven billion, two hundred eleven million, one hundred twenty-one thousand, two hundred forty-nine".