10116562202249 has 2 divisors, whose sum is σ = 10116562202250. Its totient is φ = 10116562202248.

The previous prime is 10116562202141. The next prime is 10116562202333. The reversal of 10116562202249 is 94220226561101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5779422745849 + 4337139456400 = 2404043^2 + 2082580^2 .

It is an emirp because it is prime and its reverse (94220226561101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10116562202249 is a prime.

It is not a weakly prime, because it can be changed into another prime (10116562202749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5058281101124 + 5058281101125.

It is an arithmetic number, because the mean of its divisors is an integer number (5058281101125).

Almost surely, 2^{10116562202249} is an apocalyptic number.

It is an amenable number.

10116562202249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10116562202249 is an equidigital number, since it uses as much as digits as its factorization.

10116562202249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 10116562202249 in words is "ten trillion, one hundred sixteen billion, five hundred sixty-two million, two hundred two thousand, two hundred forty-nine".