101091801 has 16 divisors (see below), whose sum is σ = 136150400. Its totient is φ = 66718080.

The previous prime is 101091779. The next prime is 101091847. The reversal of 101091801 is 108190101.

It is not a de Polignac number, because 101091801 - 2⁵ = 101091769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101091301) 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, 186591 + ... + 187131.

It is an arithmetic number, because the mean of its divisors is an integer number (8509400).

Almost surely, 2^101091801 is an apocalyptic number.

It is an amenable number.

101091801 is a deficient number, since it is larger than the sum of its proper divisors (35058599).

101091801 is a wasteful number, since it uses less digits than its factorization.

101091801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056.

The product of its (nonzero) digits is 72, while the sum is 21.

The square root of 101091801 is about 10054.4418542254. The cubic root of 101091801 is about 465.8420031462.

The spelling of 101091801 in words is "one hundred one million, ninety-one thousand, eight hundred one".