2011001100111 has 24 divisors (see below), whose sum is σ = 2953709531136. Its totient is φ = 1318237356240.

The previous prime is 2011001100077. The next prime is 2011001100113. The reversal of 2011001100111 is 1110011001102.

It is not a de Polignac number, because 2011001100111 - 2¹⁰ = 2011001099087 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2011001100093 and 2011001100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011001100113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6221775 + ... + 6537008.

It is an arithmetic number, because the mean of its divisors is an integer number (123071230464).

Almost surely, 2^{2011001100111} is an apocalyptic number.

2011001100111 is a deficient number, since it is larger than the sum of its proper divisors (942708431025).

2011001100111 is a wasteful number, since it uses less digits than its factorization.

2011001100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12759083 (or 12759080 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2011001100111 its reverse (1110011001102), we get a palindrome (3121012101213).

Subtracting from 2011001100111 its reverse (1110011001102), we obtain a palindrome (900990099009).

It can be divided in two parts, 2011001 and 100111, that added together give a palindrome (2111112).

The spelling of 2011001100111 in words is "two trillion, eleven billion, one million, one hundred thousand, one hundred eleven".