101072273 has 2 divisors, whose sum is σ = 101072274. Its totient is φ = 101072272.

The previous prime is 101072261. The next prime is 101072311. The reversal of 101072273 is 372270101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72471169 + 28601104 = 8513^2 + 5348^2 .

It is a cyclic number.

It is not a de Polignac number, because 101072273 - 2⁸ = 101072017 is a prime.

It is not a weakly prime, because it can be changed into another prime (101072203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50536136 + 50536137.

It is an arithmetic number, because the mean of its divisors is an integer number (50536137).

Almost surely, 2^101072273 is an apocalyptic number.

It is an amenable number.

101072273 is a deficient number, since it is larger than the sum of its proper divisors (1).

101072273 is an equidigital number, since it uses as much as digits as its factorization.

101072273 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 23.

The square root of 101072273 is about 10053.4706942429. The cubic root of 101072273 is about 465.8120054993.

The spelling of 101072273 in words is "one hundred one million, seventy-two thousand, two hundred seventy-three".