111122100001121 has 32 divisors (see below), whose sum is σ = 131788199587968. Its totient is φ = 92549669667840.

The previous prime is 111122100001079. The next prime is 111122100001181. The reversal of 111122100001121 is 121100001221111.

It is not a de Polignac number, because 111122100001121 - 2¹⁰ = 111122100000097 is a prime.

It is a super-2 number, since 2×111122100001121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111122100001096 and 111122100001105.

It is not an unprimeable number, because it can be changed into a prime (111122100001181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21226646 + ... + 25938671.

It is an arithmetic number, because the mean of its divisors is an integer number (4118381237124).

Almost surely, 2^{111122100001121} is an apocalyptic number.

111122100001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111122100001121 is a deficient number, since it is larger than the sum of its proper divisors (20666099586847).

111122100001121 is a wasteful number, since it uses less digits than its factorization.

111122100001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47165681.

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

Adding to 111122100001121 its reverse (121100001221111), we get a palindrome (232222101222232).

The spelling of 111122100001121 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred million, one thousand, one hundred twenty-one".