101001000109957 has 2 divisors, whose sum is σ = 101001000109958. Its totient is φ = 101001000109956.

The previous prime is 101001000109907. The next prime is 101001000110039. The reversal of 101001000109957 is 759901000100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100953984427396 + 47015682561 = 10047586^2 + 216831^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001000109957 - 2³⁹ = 100451244296069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001000109907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500054978 + 50500500054979.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500054979).

Almost surely, 2^{101001000109957} is an apocalyptic number.

It is an amenable number.

101001000109957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001000109957 is an equidigital number, since it uses as much as digits as its factorization.

101001000109957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 34.

The spelling of 101001000109957 in words is "one hundred one trillion, one billion, one hundred nine thousand, nine hundred fifty-seven".