111100122210101 has 8 divisors (see below), whose sum is σ = 112617224278200. Its totient is φ = 109591198590400.

The previous prime is 111100122210067. The next prime is 111100122210137. The reversal of 111100122210101 is 101012221001111.

It can be written as a sum of positive squares in 4 ways, for example, as 15950047050001 + 95150075160100 = 3993751^2 + 9754490^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 111100122210101 - 2⁶ = 111100122210037 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 (111100122210901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2044584746 + ... + 2044639083.

It is an arithmetic number, because the mean of its divisors is an integer number (14077153034775).

Almost surely, 2^{111100122210101} is an apocalyptic number.

It is an amenable number.

111100122210101 is a deficient number, since it is larger than the sum of its proper divisors (1517102068099).

111100122210101 is a wasteful number, since it uses less digits than its factorization.

111100122210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089224199.

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

Adding to 111100122210101 its reverse (101012221001111), we get a palindrome (212112343211212).

The spelling of 111100122210101 in words is "one hundred eleven trillion, one hundred billion, one hundred twenty-two million, two hundred ten thousand, one hundred one".