2011101010112 has 28 divisors (see below), whose sum is σ = 3992425915056. Its totient is φ = 1005135425280.

The previous prime is 2011101010067. The next prime is 2011101010117. The reversal of 2011101010112 is 2110101011102.

It is a junction number, because it is equal to n+sod(n) for n = 2011101010093 and 2011101010102.

It is not an unprimeable number, because it can be changed into a prime (2011101010117) 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, 6329339 + ... + 6639482.

Almost surely, 2^{2011101010112} is an apocalyptic number.

It is an amenable number.

2011101010112 is a deficient number, since it is larger than the sum of its proper divisors (1981324904944).

2011101010112 is a wasteful number, since it uses less digits than its factorization.

2011101010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12971256 (or 12971246 counting only the distinct ones).

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

Adding to 2011101010112 its reverse (2110101011102), we get a palindrome (4121202021214).

The spelling of 2011101010112 in words is "two trillion, eleven billion, one hundred one million, ten thousand, one hundred twelve".