100112111110849 has 2 divisors, whose sum is σ = 100112111110850. Its totient is φ = 100112111110848.

The previous prime is 100112111110787. The next prime is 100112111111063. The reversal of 100112111110849 is 948011111211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50571910400449 + 49540200710400 = 7111393^2 + 7038480^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112111110849 - 2²³ = 100112102722241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100112111110849.

It is not a weakly prime, because it can be changed into another prime (100112111110549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056055555424 + 50056055555425.

It is an arithmetic number, because the mean of its divisors is an integer number (50056055555425).

Almost surely, 2^{100112111110849} is an apocalyptic number.

It is an amenable number.

100112111110849 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112111110849 is an equidigital number, since it uses as much as digits as its factorization.

100112111110849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 31.

The spelling of 100112111110849 in words is "one hundred trillion, one hundred twelve billion, one hundred eleven million, one hundred ten thousand, eight hundred forty-nine".