100093031230837 has 2 divisors, whose sum is σ = 100093031230838. Its totient is φ = 100093031230836.

The previous prime is 100093031230793. The next prime is 100093031230847. The reversal of 100093031230837 is 738032130390001.

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., 71720725878481 + 28372305352356 = 8468809^2 + 5326566^2 .

It is a cyclic number.

It is not a de Polignac number, because 100093031230837 - 2³⁵ = 100058671492469 is a prime.

It is a super-2 number, since 2×100093031230837² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100093031230837.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100093031230847) 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, 50046515615418 + 50046515615419.

It is an arithmetic number, because the mean of its divisors is an integer number (50046515615419).

Almost surely, 2^{100093031230837} is an apocalyptic number.

It is an amenable number.

100093031230837 is a deficient number, since it is larger than the sum of its proper divisors (1).

100093031230837 is an equidigital number, since it uses as much as digits as its factorization.

100093031230837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 100093031230837 in words is "one hundred trillion, ninety-three billion, thirty-one million, two hundred thirty thousand, eight hundred thirty-seven".