2112112101011 has 24 divisors (see below), whose sum is σ = 2387585813184. Its totient is φ = 1852903871840.

The previous prime is 2112112101007. The next prime is 2112112101037. The reversal of 2112112101011 is 1101012112112.

It is not a de Polignac number, because 2112112101011 - 2² = 2112112101007 is a prime.

It is a super-2 number, since 2×2112112101011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112112101041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17581796 + ... + 17701518.

It is an arithmetic number, because the mean of its divisors is an integer number (99482742216).

Almost surely, 2^{2112112101011} is an apocalyptic number.

2112112101011 is a deficient number, since it is larger than the sum of its proper divisors (275473712173).

2112112101011 is a wasteful number, since it uses less digits than its factorization.

2112112101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121699 (or 121670 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2112112101011 its reverse (1101012112112), we get a palindrome (3213124213123).

The spelling of 2112112101011 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred one thousand, eleven".