100546350165557 has 2 divisors, whose sum is σ = 100546350165558. Its totient is φ = 100546350165556.

The previous prime is 100546350165551. The next prime is 100546350165559. The reversal of 100546350165557 is 755561053645001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77693753132836 + 22852597032721 = 8814406^2 + 4780439^2 .

It is a cyclic number.

It is not a de Polignac number, because 100546350165557 - 2⁸ = 100546350165301 is a prime.

It is a super-2 number, since 2×100546350165557² (a number of 29 digits) contains 22 as substring.

Together with 100546350165559, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100546350165499 and 100546350165508.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100546350165551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50273175082778 + 50273175082779.

It is an arithmetic number, because the mean of its divisors is an integer number (50273175082779).

Almost surely, 2^{100546350165557} is an apocalyptic number.

It is an amenable number.

100546350165557 is a deficient number, since it is larger than the sum of its proper divisors (1).

100546350165557 is an equidigital number, since it uses as much as digits as its factorization.

100546350165557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450000, while the sum is 53.

The spelling of 100546350165557 in words is "one hundred trillion, five hundred forty-six billion, three hundred fifty million, one hundred sixty-five thousand, five hundred fifty-seven".