111011122100101 has 16 divisors (see below), whose sum is σ = 113285798615808. Its totient is φ = 108760290393600.

The previous prime is 111011122100069. The next prime is 111011122100107. The reversal of 111011122100101 is 101001221110111.

It is a cyclic number.

It is not a de Polignac number, because 111011122100101 - 2⁵ = 111011122100069 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 (111011122100107) 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, 25358496 + ... + 29412166.

It is an arithmetic number, because the mean of its divisors is an integer number (7080362413488).

Almost surely, 2^{111011122100101} is an apocalyptic number.

It is an amenable number.

111011122100101 is a deficient number, since it is larger than the sum of its proper divisors (2274676515707).

111011122100101 is a wasteful number, since it uses less digits than its factorization.

111011122100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056612.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111011122100101 its reverse (101001221110111), we get a palindrome (212012343210212).

The spelling of 111011122100101 in words is "one hundred eleven trillion, eleven billion, one hundred twenty-two million, one hundred thousand, one hundred one".