2011111100001 has 6 divisors (see below), whose sum is σ = 2904938255570. Its totient is φ = 1340740733328.

The previous prime is 2011111099939. The next prime is 2011111100111. The reversal of 2011111100001 is 1000011111102.

It can be written as a sum of positive squares in only one way, i.e., 1860605121600 + 150505978401 = 1364040^2 + 387951^2 .

It is not a de Polignac number, because 2011111100001 - 2²² = 2011106905697 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: 223456788889 = 2011111100001 / (2 + 0 + 1 + 1 + 1 + 1 + 1 + 1 + 0 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011111102001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111728394436 + ... + 111728394453.

Almost surely, 2^{2011111100001} is an apocalyptic number.

It is an amenable number.

2011111100001 is a deficient number, since it is larger than the sum of its proper divisors (893827155569).

2011111100001 is a wasteful number, since it uses less digits than its factorization.

2011111100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223456788895 (or 223456788892 counting only the distinct ones).

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

Adding to 2011111100001 its reverse (1000011111102), we get a palindrome (3011122211103).

It can be divided in two parts, 2011111 and 100001, that added together give a palindrome (2111112).

The spelling of 2011111100001 in words is "two trillion, eleven billion, one hundred eleven million, one hundred thousand, one".