101072173021 has 2 divisors, whose sum is σ = 101072173022. Its totient is φ = 101072173020.

The previous prime is 101072173001. The next prime is 101072173057. The reversal of 101072173021 is 120371270101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101019087225 + 53085796 = 317835^2 + 7286^2 .

It is an emirp because it is prime and its reverse (120371270101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101072173021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101072173001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50536086510 + 50536086511.

It is an arithmetic number, because the mean of its divisors is an integer number (50536086511).

Almost surely, 2^101072173021 is an apocalyptic number.

It is an amenable number.

101072173021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101072173021 is an equidigital number, since it uses as much as digits as its factorization.

101072173021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 588, while the sum is 25.

The spelling of 101072173021 in words is "one hundred one billion, seventy-two million, one hundred seventy-three thousand, twenty-one".