101320201109957 has 2 divisors, whose sum is σ = 101320201109958. Its totient is φ = 101320201109956.

The previous prime is 101320201109951. The next prime is 101320201110013. The reversal of 101320201109957 is 759901102023101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78833959564801 + 22486241545156 = 8878849^2 + 4741966^2 .

It is a cyclic number.

It is not a de Polignac number, because 101320201109957 - 2⁶ = 101320201109893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101320201109951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660100554978 + 50660100554979.

It is an arithmetic number, because the mean of its divisors is an integer number (50660100554979).

Almost surely, 2^{101320201109957} is an apocalyptic number.

It is an amenable number.

101320201109957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101320201109957 is an equidigital number, since it uses as much as digits as its factorization.

101320201109957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 41.

The spelling of 101320201109957 in words is "one hundred one trillion, three hundred twenty billion, two hundred one million, one hundred nine thousand, nine hundred fifty-seven".