2101112111249 has 2 divisors, whose sum is σ = 2101112111250. Its totient is φ = 2101112111248.

The previous prime is 2101112111159. The next prime is 2101112111317. The reversal of 2101112111249 is 9421112111012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2041169403025 + 59942708224 = 1428695^2 + 244832^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101112111249 - 2¹⁶ = 2101112045713 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101112111849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050556055624 + 1050556055625.

It is an arithmetic number, because the mean of its divisors is an integer number (1050556055625).

Almost surely, 2^{2101112111249} is an apocalyptic number.

It is an amenable number.

2101112111249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101112111249 is an equidigital number, since it uses as much as digits as its factorization.

2101112111249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 2101112111249 in words is "two trillion, one hundred one billion, one hundred twelve million, one hundred eleven thousand, two hundred forty-nine".