101166401 has 8 divisors (see below), whose sum is σ = 118307904. Its totient is φ = 84697200.

The previous prime is 101166383. The next prime is 101166407. The reversal of 101166401 is 104661101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101166401 - 2¹⁸ = 100904257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101166407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167750 + ... + 168351.

It is an arithmetic number, because the mean of its divisors is an integer number (14788488).

Almost surely, 2^101166401 is an apocalyptic number.

It is an amenable number.

101166401 is a deficient number, since it is larger than the sum of its proper divisors (17141503).

101166401 is an equidigital number, since it uses as much as digits as its factorization.

101166401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336151.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 101166401 is about 10058.1509732157. The cubic root of 101166401 is about 465.9565632731.

The spelling of 101166401 in words is "one hundred one million, one hundred sixty-six thousand, four hundred one".