100111001000003 has 32 divisors (see below), whose sum is σ = 116609908800000. Its totient is φ = 84179532787200.

The previous prime is 100111000999949. The next prime is 100111001000053. The reversal of 100111001000003 is 300000100111001.

It is a cyclic number.

It is not a de Polignac number, because 100111001000003 - 2¹⁸ = 100111000737859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111001000053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48017483 + ... + 50058971.

It is an arithmetic number, because the mean of its divisors is an integer number (3644059650000).

Almost surely, 2^{100111001000003} is an apocalyptic number.

100111001000003 is a deficient number, since it is larger than the sum of its proper divisors (16498907799997).

100111001000003 is a wasteful number, since it uses less digits than its factorization.

100111001000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042235.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100111001000003 its reverse (300000100111001), we get a palindrome (400111101111004).

The spelling of 100111001000003 in words is "one hundred trillion, one hundred eleven billion, one million, three", and thus it is an aban number.