111122100100001 has 8 divisors (see below), whose sum is σ = 111133501367400. Its totient is φ = 111110699240320.

The previous prime is 111122100099979. The next prime is 111122100100051. The reversal of 111122100100001 is 100001001221111.

It can be written as a sum of positive squares in 4 ways, for example, as 76253063290000 + 34869036810001 = 8732300^2 + 5905001^2 .

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 111122100100001 - 2³⁴ = 111104920230817 is a prime.

It is a super-2 number, since 2×111122100100001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111122100100051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1037801495 + ... + 1037908563.

It is an arithmetic number, because the mean of its divisors is an integer number (13891687670925).

Almost surely, 2^{111122100100001} is an apocalyptic number.

It is an amenable number.

111122100100001 is a deficient number, since it is larger than the sum of its proper divisors (11401267399).

111122100100001 is a wasteful number, since it uses less digits than its factorization.

111122100100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203859.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111122100100001 its reverse (100001001221111), we get a palindrome (211123101321112).

The spelling of 111122100100001 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred million, one hundred thousand, one".