10010001111103 has 16 divisors (see below), whose sum is σ = 11835456168960. Its totient is φ = 8283458383200.

The previous prime is 10010001110969. The next prime is 10010001111109. The reversal of 10010001111103 is 30111110001001.

It is not a de Polignac number, because 10010001111103 - 2³³ = 10001411176511 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010001111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459738 + ... + 4497928.

It is an arithmetic number, because the mean of its divisors is an integer number (739716010560).

Almost surely, 2^{10010001111103} is an apocalyptic number.

10010001111103 is a deficient number, since it is larger than the sum of its proper divisors (1825455057857).

10010001111103 is a wasteful number, since it uses less digits than its factorization.

10010001111103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050438.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10010001111103 its reverse (30111110001001), we get a palindrome (40121111112104).

The spelling of 10010001111103 in words is "ten trillion, ten billion, one million, one hundred eleven thousand, one hundred three".