101657473873 has 2 divisors, whose sum is σ = 101657473874. Its totient is φ = 101657473872.

The previous prime is 101657473849. The next prime is 101657473877. The reversal of 101657473873 is 378374756101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71836328529 + 29821145344 = 268023^2 + 172688^2 .

It is a cyclic number.

It is not a de Polignac number, because 101657473873 - 2³³ = 93067539281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101657473873.

It is not a weakly prime, because it can be changed into another prime (101657473877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50828736936 + 50828736937.

It is an arithmetic number, because the mean of its divisors is an integer number (50828736937).

Almost surely, 2^101657473873 is an apocalyptic number.

It is an amenable number.

101657473873 is a deficient number, since it is larger than the sum of its proper divisors (1).

101657473873 is an equidigital number, since it uses as much as digits as its factorization.

101657473873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 101657473873 in words is "one hundred one billion, six hundred fifty-seven million, four hundred seventy-three thousand, eight hundred seventy-three".