2112126105611 has 16 divisors (see below), whose sum is σ = 2212951369728. Its totient is φ = 2013348268800.

The previous prime is 2112126105571. The next prime is 2112126105623. The reversal of 2112126105611 is 1165016212112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112126105611 is a prime.

It is a super-2 number, since 2×2112126105611² (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 (2112126105211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43657211 + ... + 43705563.

It is an arithmetic number, because the mean of its divisors is an integer number (138309460608).

Almost surely, 2^{2112126105611} is an apocalyptic number.

2112126105611 is a deficient number, since it is larger than the sum of its proper divisors (100825264117).

2112126105611 is a wasteful number, since it uses less digits than its factorization.

2112126105611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69482.

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 2112126105611 in words is "two trillion, one hundred twelve billion, one hundred twenty-six million, one hundred five thousand, six hundred eleven".