101572001 has 2 divisors, whose sum is σ = 101572002. Its totient is φ = 101572000.

The previous prime is 101571973. The next prime is 101572019. The reversal of 101572001 is 100275101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101525776 + 46225 = 10076^2 + 215^2 .

It is a cyclic number.

It is not a de Polignac number, because 101572001 - 2²⁶ = 34463137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101572061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50786000 + 50786001.

It is an arithmetic number, because the mean of its divisors is an integer number (50786001).

Almost surely, 2^101572001 is an apocalyptic number.

It is an amenable number.

101572001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101572001 is an equidigital number, since it uses as much as digits as its factorization.

101572001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 101572001 is about 10078.2935559548. The cubic root of 101572001 is about 466.5784429028.

The spelling of 101572001 in words is "one hundred one million, five hundred seventy-two thousand, one".