111101121122101 has 16 divisors (see below), whose sum is σ = 131695726233600. Its totient is φ = 92598557497200.

The previous prime is 111101121122023. The next prime is 111101121122107. The reversal of 111101121122101 is 101221121101111.

It is a cyclic number.

It is not a de Polignac number, because 111101121122101 - 2¹⁵ = 111101121089333 is a prime.

It is a super-2 number, since 2×111101121122101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101121122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8573934031 + ... + 8573946988.

It is an arithmetic number, because the mean of its divisors is an integer number (8230982889600).

Almost surely, 2^{111101121122101} is an apocalyptic number.

111101121122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111101121122101 is a deficient number, since it is larger than the sum of its proper divisors (20594605111499).

111101121122101 is a wasteful number, since it uses less digits than its factorization.

111101121122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17147881080.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 111101121122101 its reverse (101221121101111), we get a palindrome (212322242223212).

The spelling of 111101121122101 in words is "one hundred eleven trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred one".