2002100110111 has 16 divisors (see below), whose sum is σ = 2050981067520. Its totient is φ = 1953325785600.

The previous prime is 2002100110093. The next prime is 2002100110117. The reversal of 2002100110111 is 1110110012002.

It is a cyclic number.

It is not a de Polignac number, because 2002100110111 - 2⁹ = 2002100109599 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 (2002100110117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259907886 + ... + 259915588.

It is an arithmetic number, because the mean of its divisors is an integer number (128186316720).

Almost surely, 2^{2002100110111} is an apocalyptic number.

2002100110111 is a deficient number, since it is larger than the sum of its proper divisors (48880957409).

2002100110111 is a wasteful number, since it uses less digits than its factorization.

2002100110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13806.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2002100110111 its reverse (1110110012002), we get a palindrome (3112210122113).

The spelling of 2002100110111 in words is "two trillion, two billion, one hundred million, one hundred ten thousand, one hundred eleven".