2111106581 has 2 divisors, whose sum is σ = 2111106582. Its totient is φ = 2111106580.

The previous prime is 2111106559. The next prime is 2111106607. The reversal of 2111106581 is 1856011112.

It is an a-pointer prime, because the next prime (2111106607) can be obtained adding 2111106581 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1127280625 + 983825956 = 33575^2 + 31366^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111106581 - 2¹⁴ = 2111090197 is a prime.

It is a super-2 number, since 2×2111106581² = 8913541992683019122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2111106581.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111106181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055553290 + 1055553291.

It is an arithmetic number, because the mean of its divisors is an integer number (1055553291).

Almost surely, 2^2111106581 is an apocalyptic number.

It is an amenable number.

2111106581 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111106581 is an equidigital number, since it uses as much as digits as its factorization.

2111106581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 26.

The square root of 2111106581 is about 45946.7798762873. The cubic root of 2111106581 is about 1282.8327928387.

Adding to 2111106581 its reverse (1856011112), we get a palindrome (3967117693).

The spelling of 2111106581 in words is "two billion, one hundred eleven million, one hundred six thousand, five hundred eighty-one".