2012112102011 has 8 divisors (see below), whose sum is σ = 2195065965744. Its totient is φ = 1829164001920.

The previous prime is 2012112101981. The next prime is 2012112102017. The reversal of 2012112102011 is 1102012112102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2012112102011 - 2³⁰ = 2011038360187 is a prime.

It is a super-2 number, since 2×2012112102011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012112102017) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 694130 + ... + 2122743.

It is an arithmetic number, because the mean of its divisors is an integer number (274383245718).

Almost surely, 2^{2012112102011} is an apocalyptic number.

2012112102011 is a deficient number, since it is larger than the sum of its proper divisors (182953863733).

2012112102011 is a wasteful number, since it uses less digits than its factorization.

2012112102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881821.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2012112102011 its reverse (1102012112102), we get a palindrome (3114124214113).

The spelling of 2012112102011 in words is "two trillion, twelve billion, one hundred twelve million, one hundred two thousand, eleven".