10102011011249 has 2 divisors, whose sum is σ = 10102011011250. Its totient is φ = 10102011011248.

The previous prime is 10102011011119. The next prime is 10102011011291. The reversal of 10102011011249 is 94211011020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6173560162225 + 3928450849024 = 2484665^2 + 1982032^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102011011249 - 2³² = 10097716043953 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102011011849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051005505624 + 5051005505625.

It is an arithmetic number, because the mean of its divisors is an integer number (5051005505625).

Almost surely, 2^{10102011011249} is an apocalyptic number.

It is an amenable number.

10102011011249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102011011249 is an equidigital number, since it uses as much as digits as its factorization.

10102011011249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 10102011011249 in words is "ten trillion, one hundred two billion, eleven million, eleven thousand, two hundred forty-nine".