100312001172557 has 2 divisors, whose sum is σ = 100312001172558. Its totient is φ = 100312001172556.

The previous prime is 100312001172547. The next prime is 100312001172563. The reversal of 100312001172557 is 755271100213001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93702032160361 + 6609969012196 = 9679981^2 + 2570986^2 .

It is a cyclic number.

It is not a de Polignac number, because 100312001172557 - 2⁴ = 100312001172541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100312001172547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156000586278 + 50156000586279.

It is an arithmetic number, because the mean of its divisors is an integer number (50156000586279).

Almost surely, 2^{100312001172557} is an apocalyptic number.

It is an amenable number.

100312001172557 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312001172557 is an equidigital number, since it uses as much as digits as its factorization.

100312001172557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700, while the sum is 35.

Adding to 100312001172557 its reverse (755271100213001), we get a palindrome (855583101385558).

The spelling of 100312001172557 in words is "one hundred trillion, three hundred twelve billion, one million, one hundred seventy-two thousand, five hundred fifty-seven".