10111211249 has 2 divisors, whose sum is σ = 10111211250. Its totient is φ = 10111211248.

The previous prime is 10111211213. The next prime is 10111211281. The reversal of 10111211249 is 94211211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5620201024 + 4491010225 = 74968^2 + 67015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111211249 is a prime.

It is a super-3 number, since 3×10111211249³ (a number of 31 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10111211749) 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, 5055605624 + 5055605625.

It is an arithmetic number, because the mean of its divisors is an integer number (5055605625).

Almost surely, 2^10111211249 is an apocalyptic number.

It is an amenable number.

10111211249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111211249 is an equidigital number, since it uses as much as digits as its factorization.

10111211249 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 10111211249 in words is "ten billion, one hundred eleven million, two hundred eleven thousand, two hundred forty-nine".