2002100110011 has 6 divisors (see below), whose sum is σ = 2891922381140. Its totient is φ = 1334733406668.

The previous prime is 2002100109973. The next prime is 2002100110081. The reversal of 2002100110011 is 1100110012002.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2002100110011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 222455567779 = 2002100110011 / (2 + 0 + 0 + 2 + 1 + 0 + 0 + 1 + 1 + 0 + 0 + 1 + 1).

It is a Duffinian number.

2002100110011 is a modest number, since divided by 110011 gives 20021 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2002100109975 and 2002100110002.

It is not an unprimeable number, because it can be changed into a prime (2002100110081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111227783881 + ... + 111227783898.

Almost surely, 2^{2002100110011} is an apocalyptic number.

2002100110011 is a deficient number, since it is larger than the sum of its proper divisors (889822271129).

2002100110011 is a wasteful number, since it uses less digits than its factorization.

2002100110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222455567785 (or 222455567782 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2002100110011 its reverse (1100110012002), we get a palindrome (3102210122013).

The spelling of 2002100110011 in words is "two trillion, two billion, one hundred million, one hundred ten thousand, eleven".