100110131249 has 2 divisors, whose sum is σ = 100110131250. Its totient is φ = 100110131248.

The previous prime is 100110131227. The next prime is 100110131257. The reversal of 100110131249 is 942131011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50811922225 + 49298209024 = 225415^2 + 222032^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110131249 - 2³² = 95815163953 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110131299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055065624 + 50055065625.

It is an arithmetic number, because the mean of its divisors is an integer number (50055065625).

Almost surely, 2^100110131249 is an apocalyptic number.

It is an amenable number.

100110131249 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110131249 is an equidigital number, since it uses as much as digits as its factorization.

100110131249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 100110131249 in words is "one hundred billion, one hundred ten million, one hundred thirty-one thousand, two hundred forty-nine".