101040090757 has 2 divisors, whose sum is σ = 101040090758. Its totient is φ = 101040090756.

The previous prime is 101040090751. The next prime is 101040090761. The reversal of 101040090757 is 757090040101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90933005601 + 10107085156 = 301551^2 + 100534^2 .

It is an emirp because it is prime and its reverse (757090040101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101040090757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101040090751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50520045378 + 50520045379.

It is an arithmetic number, because the mean of its divisors is an integer number (50520045379).

Almost surely, 2^101040090757 is an apocalyptic number.

It is an amenable number.

101040090757 is a deficient number, since it is larger than the sum of its proper divisors (1).

101040090757 is an equidigital number, since it uses as much as digits as its factorization.

101040090757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 101040090757 in words is "one hundred one billion, forty million, ninety thousand, seven hundred fifty-seven".