101320901 has 16 divisors (see below), whose sum is σ = 123197760. Its totient is φ = 82126080.

The previous prime is 101320883. The next prime is 101320903. The reversal of 101320901 is 109023101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101320901 - 2²⁶ = 34212037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101320901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320903) 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, 10706 + ... + 17811.

It is an arithmetic number, because the mean of its divisors is an integer number (7699860).

Almost surely, 2^101320901 is an apocalyptic number.

101320901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101320901 is a deficient number, since it is larger than the sum of its proper divisors (21876859).

101320901 is a wasteful number, since it uses less digits than its factorization.

101320901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28564.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 101320901 is about 10065.8283812114. The cubic root of 101320901 is about 466.1936435416.

The spelling of 101320901 in words is "one hundred one million, three hundred twenty thousand, nine hundred one".