2002000100111 has 8 divisors (see below), whose sum is σ = 2184013674624. Its totient is φ = 1819988786520.

The previous prime is 2002000100071. The next prime is 2002000100173. The reversal of 2002000100111 is 1110010002002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002000100111 - 2²² = 2001995905807 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 (2002000100411) 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 7 ways as a sum of consecutive naturals, for example, 1670870 + ... + 2606876.

It is an arithmetic number, because the mean of its divisors is an integer number (273001709328).

Almost surely, 2^{2002000100111} is an apocalyptic number.

2002000100111 is a deficient number, since it is larger than the sum of its proper divisors (182013574513).

2002000100111 is a wasteful number, since it uses less digits than its factorization.

2002000100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130461.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2002000100111 its reverse (1110010002002), we get a palindrome (3112010102113).

The spelling of 2002000100111 in words is "two trillion, two billion, one hundred thousand, one hundred eleven".