2001101100111 has 12 divisors (see below), whose sum is σ = 3016152383088. Its totient is φ = 1276064469504.

The previous prime is 2001101100091. The next prime is 2001101100149. The reversal of 2001101100111 is 1110011011002.

It is not a de Polignac number, because 2001101100111 - 2⁷ = 2001101099983 is a prime.

It is a super-2 number, since 2×2001101100111² (a number of 25 digits) contains 22 as substring.

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 = 2001101100093 and 2001101100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001101100151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4833577330 + ... + 4833577743.

It is an arithmetic number, because the mean of its divisors is an integer number (251346031924).

Almost surely, 2^{2001101100111} is an apocalyptic number.

2001101100111 is a deficient number, since it is larger than the sum of its proper divisors (1015051282977).

2001101100111 is a wasteful number, since it uses less digits than its factorization.

2001101100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9667155102 (or 9667155099 counting only the distinct ones).

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

Adding to 2001101100111 its reverse (1110011011002), we get a palindrome (3111112111113).

The spelling of 2001101100111 in words is "two trillion, one billion, one hundred one million, one hundred thousand, one hundred eleven".