2001011011112 has 64 divisors (see below), whose sum is σ = 3956558296320. Its totient is φ = 946857719808.

The previous prime is 2001011011091. The next prime is 2001011011157. The reversal of 2001011011112 is 2111101101002.

It is a junction number, because it is equal to n+sod(n) for n = 2001011011093 and 2001011011102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67754093 + ... + 67783619.

It is an arithmetic number, because the mean of its divisors is an integer number (61821223380).

Almost surely, 2^{2001011011112} is an apocalyptic number.

It is an amenable number.

2001011011112 is a deficient number, since it is larger than the sum of its proper divisors (1955547285208).

2001011011112 is a wasteful number, since it uses less digits than its factorization.

2001011011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33450 (or 33446 counting only the distinct ones).

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

Adding to 2001011011112 its reverse (2111101101002), we get a palindrome (4112112112114).

The spelling of 2001011011112 in words is "two trillion, one billion, eleven million, eleven thousand, one hundred twelve".