11000109961 has 2 divisors, whose sum is σ = 11000109962. Its totient is φ = 11000109960.

The previous prime is 11000109959. The next prime is 11000109977. The reversal of 11000109961 is 16990100011.

11000109961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10890174736 + 109935225 = 104356^2 + 10485^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000109961 - 2¹ = 11000109959 is a prime.

It is a super-3 number, since 3×11000109961³ (a number of 31 digits) contains 333 as substring.

Together with 11000109959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (11000109661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500054980 + 5500054981.

It is an arithmetic number, because the mean of its divisors is an integer number (5500054981).

Almost surely, 2^11000109961 is an apocalyptic number.

It is an amenable number.

11000109961 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000109961 is an equidigital number, since it uses as much as digits as its factorization.

11000109961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 28.

Adding to 11000109961 its reverse (16990100011), we get a palindrome (27990209972).

The spelling of 11000109961 in words is "eleven billion, one hundred nine thousand, nine hundred sixty-one".