2001101110112 has 48 divisors (see below), whose sum is σ = 4314629728080. Its totient is φ = 907931131392.

The previous prime is 2001101110097. The next prime is 2001101110147. The reversal of 2001101110112 is 2110111011002.

It is a junction number, because it is equal to n+sod(n) for n = 2001101110093 and 2001101110102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40741043 + ... + 40790130.

It is an arithmetic number, because the mean of its divisors is an integer number (89888119335).

Almost surely, 2^{2001101110112} is an apocalyptic number.

It is an amenable number.

2001101110112 is an abundant number, since it is smaller than the sum of its proper divisors (2313528617968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001101110112 is a wasteful number, since it uses less digits than its factorization.

2001101110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81531255 (or 81531247 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2001101110112 its reverse (2110111011002), we get a palindrome (4111212121114).

The spelling of 2001101110112 in words is "two trillion, one billion, one hundred one million, one hundred ten thousand, one hundred twelve".