2012111100111 has 48 divisors (see below), whose sum is σ = 3222647927808. Its totient is φ = 1112290704000.

The previous prime is 2012111100101. The next prime is 2012111100127. The reversal of 2012111100111 is 1110011112102.

It is not a de Polignac number, because 2012111100111 - 2⁷ = 2012111099983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012111100101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12914571 + ... + 13069443.

It is an arithmetic number, because the mean of its divisors is an integer number (67138498496).

Almost surely, 2^{2012111100111} is an apocalyptic number.

2012111100111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2012111100111 is a deficient number, since it is larger than the sum of its proper divisors (1210536827697).

2012111100111 is a wasteful number, since it uses less digits than its factorization.

2012111100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157772 (or 157765 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2012111100111 its reverse (1110011112102), we get a palindrome (3122122212213).

The spelling of 2012111100111 in words is "two trillion, twelve billion, one hundred eleven million, one hundred thousand, one hundred eleven".