10100111301 has 12 divisors (see below), whose sum is σ = 16673199712. Its totient is φ = 5771492136.

The previous prime is 10100111291. The next prime is 10100111311. The reversal of 10100111301 is 10311100101.

10100111301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10100111291) and next prime (10100111311).

It is not a de Polignac number, because 10100111301 - 2¹⁵ = 10100078533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80159551 + ... + 80159676.

Almost surely, 2^10100111301 is an apocalyptic number.

It is an amenable number.

10100111301 is a deficient number, since it is larger than the sum of its proper divisors (6573088411).

10100111301 is a wasteful number, since it uses less digits than its factorization.

10100111301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160319240 (or 160319237 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10100111301 its reverse (10311100101), we get a palindrome (20411211402).

The spelling of 10100111301 in words is "ten billion, one hundred million, one hundred eleven thousand, three hundred one".