101101200109957 has 2 divisors, whose sum is σ = 101101200109958. Its totient is φ = 101101200109956.

The previous prime is 101101200109919. The next prime is 101101200109981. The reversal of 101101200109957 is 759901002101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94139786984356 + 6961413125601 = 9702566^2 + 2638449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101200109957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101200109057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550600054978 + 50550600054979.

It is an arithmetic number, because the mean of its divisors is an integer number (50550600054979).

Almost surely, 2^{101101200109957} is an apocalyptic number.

It is an amenable number.

101101200109957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101200109957 is an equidigital number, since it uses as much as digits as its factorization.

101101200109957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 37.

The spelling of 101101200109957 in words is "one hundred one trillion, one hundred one billion, two hundred million, one hundred nine thousand, nine hundred fifty-seven".