101066721 has 16 divisors (see below), whose sum is σ = 158169984. Its totient is φ = 56191104.

The previous prime is 101066701. The next prime is 101066723. The reversal of 101066721 is 127660101.

It is not a de Polignac number, because 101066721 - 2⁵ = 101066689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101066691 and 101066700.

It is not an unprimeable number, because it can be changed into a prime (101066723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64260 + ... + 65813.

It is an arithmetic number, because the mean of its divisors is an integer number (9885624).

Almost surely, 2^101066721 is an apocalyptic number.

It is an amenable number.

101066721 is a deficient number, since it is larger than the sum of its proper divisors (57103263).

101066721 is a wasteful number, since it uses less digits than its factorization.

101066721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130120.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 101066721 is about 10053.1945669026. The cubic root of 101066721 is about 465.8034761716.

The spelling of 101066721 in words is "one hundred one million, sixty-six thousand, seven hundred twenty-one".