101000099957 has 2 divisors, whose sum is σ = 101000099958. Its totient is φ = 101000099956.

The previous prime is 101000099929. The next prime is 101000099969. The reversal of 101000099957 is 759990000101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59712298321 + 41287801636 = 244361^2 + 203194^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000099957 - 2¹⁰ = 101000098933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000099917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500049978 + 50500049979.

It is an arithmetic number, because the mean of its divisors is an integer number (50500049979).

Almost surely, 2^101000099957 is an apocalyptic number.

It is an amenable number.

101000099957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000099957 is an equidigital number, since it uses as much as digits as its factorization.

101000099957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25515, while the sum is 41.

The spelling of 101000099957 in words is "one hundred one billion, ninety-nine thousand, nine hundred fifty-seven".