100112111249 has 2 divisors, whose sum is σ = 100112111250. Its totient is φ = 100112111248.

The previous prime is 100112111173. The next prime is 100112111261. The reversal of 100112111249 is 942111211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67616641024 + 32495470225 = 260032^2 + 180265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112111249 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112111299) 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, 50056055624 + 50056055625.

It is an arithmetic number, because the mean of its divisors is an integer number (50056055625).

Almost surely, 2^100112111249 is an apocalyptic number.

It is an amenable number.

100112111249 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112111249 is an equidigital number, since it uses as much as digits as its factorization.

100112111249 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 100112111249 in words is "one hundred billion, one hundred twelve million, one hundred eleven thousand, two hundred forty-nine".