2001000111112 has 16 divisors (see below), whose sum is σ = 3751894698300. Its totient is φ = 1000494858240.

The previous prime is 2001000111109. The next prime is 2001000111127. The reversal of 2001000111112 is 2111110001002.

It can be written as a sum of positive squares in 2 ways, for example, as 1999435592196 + 1564518916 = 1414014^2 + 39554^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1347912 + ... + 2412232.

Almost surely, 2^{2001000111112} is an apocalyptic number.

It is an amenable number.

2001000111112 is a deficient number, since it is larger than the sum of its proper divisors (1750894587188).

2001000111112 is a wasteful number, since it uses less digits than its factorization.

2001000111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299336 (or 1299332 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2001000111112 its reverse (2111110001002), we get a palindrome (4112110112114).

It can be divided in two parts, 2001000 and 111112, that added together give a palindrome (2112112).

The spelling of 2001000111112 in words is "two trillion, one billion, one hundred eleven thousand, one hundred twelve".