2001100212112 has 20 divisors (see below), whose sum is σ = 3877729171056. Its totient is φ = 1000395909920.

The previous prime is 2001100212107. The next prime is 2001100212119. The reversal of 2001100212112 is 2112120011002.

It is a junction number, because it is equal to n+sod(n) for n = 2001100212092 and 2001100212101.

It is not an unprimeable number, because it can be changed into a prime (2001100212119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9530158 + ... + 9737869.

Almost surely, 2^{2001100212112} is an apocalyptic number.

It is an amenable number.

2001100212112 is a deficient number, since it is larger than the sum of its proper divisors (1876628958944).

2001100212112 is a wasteful number, since it uses less digits than its factorization.

2001100212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19274526 (or 19274520 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2001100212112 its reverse (2112120011002), we get a palindrome (4113220223114).

The spelling of 2001100212112 in words is "two trillion, one billion, one hundred million, two hundred twelve thousand, one hundred twelve".