100091510075353 has 2 divisors, whose sum is σ = 100091510075354. Its totient is φ = 100091510075352.

The previous prime is 100091510075327. The next prime is 100091510075377. The reversal of 100091510075353 is 353570015190001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77399929984729 + 22691580090624 = 8797723^2 + 4763568^2 .

It is a cyclic number.

It is not a de Polignac number, because 100091510075353 - 2³³ = 100082920140761 is a prime.

It is a super-2 number, since 2×100091510075353² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100091510075393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50045755037676 + 50045755037677.

It is an arithmetic number, because the mean of its divisors is an integer number (50045755037677).

Almost surely, 2^{100091510075353} is an apocalyptic number.

It is an amenable number.

100091510075353 is a deficient number, since it is larger than the sum of its proper divisors (1).

100091510075353 is an equidigital number, since it uses as much as digits as its factorization.

100091510075353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70875, while the sum is 40.

The spelling of 100091510075353 in words is "one hundred trillion, ninety-one billion, five hundred ten million, seventy-five thousand, three hundred fifty-three".