10103111001 has 6 divisors (see below), whose sum is σ = 14593382570. Its totient is φ = 6735407328.

The previous prime is 10103110993. The next prime is 10103111021. The reversal of 10103111001 is 10011130101.

10103111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10097235225 + 5875776 = 100485^2 + 2424^2 .

It is not a de Polignac number, because 10103111001 - 2³ = 10103110993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122567889 = 10103111001 / (1 + 0 + 1 + 0 + 3 + 1 + 1 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10103111021) 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 5 ways as a sum of consecutive naturals, for example, 561283936 + ... + 561283953.

Almost surely, 2^10103111001 is an apocalyptic number.

It is an amenable number.

10103111001 is a deficient number, since it is larger than the sum of its proper divisors (4490271569).

10103111001 is a wasteful number, since it uses less digits than its factorization.

10103111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122567895 (or 1122567892 counting only the distinct ones).

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

Adding to 10103111001 its reverse (10011130101), we get a palindrome (20114241102).

It can be divided in two parts, 10103 and 111001, that added together give a square (121104 = 348²).

The spelling of 10103111001 in words is "ten billion, one hundred three million, one hundred eleven thousand, one".