100850252761 has 2 divisors, whose sum is σ = 100850252762. Its totient is φ = 100850252760.

The previous prime is 100850252747. The next prime is 100850252803. The reversal of 100850252761 is 167252058001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69139547136 + 31710705625 = 262944^2 + 178075^2 .

It is a cyclic number.

It is not a de Polignac number, because 100850252761 - 2¹³ = 100850244569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100850252761.

It is not a weakly prime, because it can be changed into another prime (100850252161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50425126380 + 50425126381.

It is an arithmetic number, because the mean of its divisors is an integer number (50425126381).

Almost surely, 2^100850252761 is an apocalyptic number.

It is an amenable number.

100850252761 is a deficient number, since it is larger than the sum of its proper divisors (1).

100850252761 is an equidigital number, since it uses as much as digits as its factorization.

100850252761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 100850252761 in words is "one hundred billion, eight hundred fifty million, two hundred fifty-two thousand, seven hundred sixty-one".