2001112101112 has 64 divisors (see below), whose sum is σ = 3984941409120. Its totient is φ = 938825330688.

The previous prime is 2001112101047. The next prime is 2001112101179. The reversal of 2001112101112 is 2111012111002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2001112101092 and 2001112101101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60416268 + ... + 60449380.

Almost surely, 2^{2001112101112} is an apocalyptic number.

It is an amenable number.

2001112101112 is a deficient number, since it is larger than the sum of its proper divisors (1983829308008).

2001112101112 is a wasteful number, since it uses less digits than its factorization.

2001112101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34480 (or 34476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2001112101112 its reverse (2111012111002), we get a palindrome (4112124212114).

The spelling of 2001112101112 in words is "two trillion, one billion, one hundred twelve million, one hundred one thousand, one hundred twelve".