2001100111103 has 48 divisors (see below), whose sum is σ = 2146104979200. Its totient is φ = 1864593911040.

The previous prime is 2001100111061. The next prime is 2001100111121. The reversal of 2001100111103 is 3011110011002.

It is a happy number.

It is not a de Polignac number, because 2001100111103 - 2¹⁸ = 2001099848959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001100101103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720635800 + ... + 1720636962.

It is an arithmetic number, because the mean of its divisors is an integer number (44710520400).

Almost surely, 2^{2001100111103} is an apocalyptic number.

2001100111103 is a deficient number, since it is larger than the sum of its proper divisors (145004868097).

2001100111103 is a wasteful number, since it uses less digits than its factorization.

2001100111103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 2001100111103 its reverse (3011110011002), we get a palindrome (5012210122105).

The spelling of 2001100111103 in words is "two trillion, one billion, one hundred million, one hundred eleven thousand, one hundred three".