101099967456557 has 2 divisors, whose sum is σ = 101099967456558. Its totient is φ = 101099967456556.

The previous prime is 101099967456487. The next prime is 101099967456559. The reversal of 101099967456557 is 755654769990101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58665504554281 + 42434462902276 = 7659341^2 + 6514174^2 .

It is a cyclic number.

It is not a de Polignac number, because 101099967456557 - 2¹² = 101099967452461 is a prime.

Together with 101099967456559, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101099967456559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50549983728278 + 50549983728279.

It is an arithmetic number, because the mean of its divisors is an integer number (50549983728279).

Almost surely, 2^{101099967456557} is an apocalyptic number.

It is an amenable number.

101099967456557 is a deficient number, since it is larger than the sum of its proper divisors (1).

101099967456557 is an equidigital number, since it uses as much as digits as its factorization.

101099967456557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 642978000, while the sum is 74.

The spelling of 101099967456557 in words is "one hundred one trillion, ninety-nine billion, nine hundred sixty-seven million, four hundred fifty-six thousand, five hundred fifty-seven".