100091510075377 has 2 divisors, whose sum is σ = 100091510075378. Its totient is φ = 100091510075376.

The previous prime is 100091510075353. The next prime is 100091510075393. The reversal of 100091510075377 is 773570015190001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98761280012641 + 1330230062736 = 9937871^2 + 1153356^2 .

It is a cyclic number.

It is not a de Polignac number, because 100091510075377 - 2¹⁵ = 100091510042609 is a prime.

It is not a weakly prime, because it can be changed into another prime (100091510075327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50045755037688 + 50045755037689.

It is an arithmetic number, because the mean of its divisors is an integer number (50045755037689).

Almost surely, 2^{100091510075377} is an apocalyptic number.

It is an amenable number.

100091510075377 is a deficient number, since it is larger than the sum of its proper divisors (1).

100091510075377 is an equidigital number, since it uses as much as digits as its factorization.

100091510075377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 231525, while the sum is 46.

The spelling of 100091510075377 in words is "one hundred trillion, ninety-one billion, five hundred ten million, seventy-five thousand, three hundred seventy-seven".