101100393 has 24 divisors (see below), whose sum is σ = 156339456. Its totient is φ = 65221200.

The previous prime is 101100367. The next prime is 101100397. The reversal of 101100393 is 393001101.

It is not a de Polignac number, because 101100393 - 2⁵ = 101100361 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (101100397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 823 + ... + 14243.

It is an arithmetic number, because the mean of its divisors is an integer number (6514144).

Almost surely, 2^101100393 is an apocalyptic number.

It is an amenable number.

101100393 is a deficient number, since it is larger than the sum of its proper divisors (55239063).

101100393 is an equidigital number, since it uses as much as digits as its factorization.

101100393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13467 (or 13455 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 101100393 is about 10054.8691189891. The cubic root of 101100393 is about 465.8552003955.

Adding to 101100393 its reverse (393001101), we get a palindrome (494101494).

The spelling of 101100393 in words is "one hundred one million, one hundred thousand, three hundred ninety-three".