111101102011201 has 8 divisors (see below), whose sum is σ = 111112527961064. Its totient is φ = 111089676562560.

The previous prime is 111101102011183. The next prime is 111101102011223. The reversal of 111101102011201 is 102110201101111.

It can be written as a sum of positive squares in 4 ways, for example, as 11125900473601 + 99975201537600 = 3335551^2 + 9998760^2 .

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 111101102011201 - 2¹⁷ = 111101101880129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111101102011261) 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, 569894395 + ... + 570089311.

It is an arithmetic number, because the mean of its divisors is an integer number (13889065995133).

Almost surely, 2^{111101102011201} is an apocalyptic number.

It is an amenable number.

111101102011201 is a deficient number, since it is larger than the sum of its proper divisors (11425949863).

111101102011201 is a wasteful number, since it uses less digits than its factorization.

111101102011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250611.

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

Adding to 111101102011201 its reverse (102110201101111), we get a palindrome (213211303112312).

The spelling of 111101102011201 in words is "one hundred eleven trillion, one hundred one billion, one hundred two million, eleven thousand, two hundred one".