101040090857 has 2 divisors, whose sum is σ = 101040090858. Its totient is φ = 101040090856.

The previous prime is 101040090797. The next prime is 101040090859. The reversal of 101040090857 is 758090040101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67403063641 + 33637027216 = 259621^2 + 183404^2 .

It is a cyclic number.

It is not a de Polignac number, because 101040090857 - 2³⁰ = 99966349033 is a prime.

Together with 101040090859, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101040090859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50520045428 + 50520045429.

It is an arithmetic number, because the mean of its divisors is an integer number (50520045429).

Almost surely, 2^101040090857 is an apocalyptic number.

It is an amenable number.

101040090857 is a deficient number, since it is larger than the sum of its proper divisors (1).

101040090857 is an equidigital number, since it uses as much as digits as its factorization.

101040090857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 101040090857 in words is "one hundred one billion, forty million, ninety thousand, eight hundred fifty-seven".