100534130405557 has 2 divisors, whose sum is σ = 100534130405558. Its totient is φ = 100534130405556.

The previous prime is 100534130405519. The next prime is 100534130405567. The reversal of 100534130405557 is 755504031435001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77117183526321 + 23416946879236 = 8781639^2 + 4839106^2 .

It is an emirp because it is prime and its reverse (755504031435001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100534130405557 is a prime.

It is a super-2 number, since 2×100534130405557² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100534130405567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50267065202778 + 50267065202779.

It is an arithmetic number, because the mean of its divisors is an integer number (50267065202779).

Almost surely, 2^{100534130405557} is an apocalyptic number.

It is an amenable number.

100534130405557 is a deficient number, since it is larger than the sum of its proper divisors (1).

100534130405557 is an equidigital number, since it uses as much as digits as its factorization.

100534130405557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630000, while the sum is 43.

The spelling of 100534130405557 in words is "one hundred trillion, five hundred thirty-four billion, one hundred thirty million, four hundred five thousand, five hundred fifty-seven".