111122121101 has 8 divisors (see below), whose sum is σ = 113466573624. Its totient is φ = 108799891200.

The previous prime is 111122121083. The next prime is 111122121119. The reversal of 111122121101 is 101121221111.

It is an interprime number because it is at equal distance from previous prime (111122121083) and next prime (111122121119).

It can be written as a sum of positive squares in 4 ways, for example, as 59241126025 + 51880995076 = 243395^2 + 227774^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111122121101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111122121161) 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 in 7 ways as a sum of consecutive naturals, for example, 5545550 + ... + 5565551.

It is an arithmetic number, because the mean of its divisors is an integer number (14183321703).

Almost surely, 2^111122121101 is an apocalyptic number.

It is an amenable number.

111122121101 is a deficient number, since it is larger than the sum of its proper divisors (2344452523).

111122121101 is a wasteful number, since it uses less digits than its factorization.

111122121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111311.

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

Adding to 111122121101 its reverse (101121221111), we get a palindrome (212243342212).

The spelling of 111122121101 in words is "one hundred eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred one".