111121000122001 has 8 divisors (see below), whose sum is σ = 111286676624384. Its totient is φ = 110955440256480.

The previous prime is 111121000121981. The next prime is 111121000122007. The reversal of 111121000122001 is 100221000121111.

It is a happy number.

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 111121000122001 - 2²³ = 111120991733393 is a prime.

It is a super-3 number, since 3×111121000122001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111121000122007) 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, 27252285 + ... + 31063306.

It is an arithmetic number, because the mean of its divisors is an integer number (13910834578048).

Almost surely, 2^{111121000122001} is an apocalyptic number.

It is an amenable number.

111121000122001 is a deficient number, since it is larger than the sum of its proper divisors (165676502383).

111121000122001 is a wasteful number, since it uses less digits than its factorization.

111121000122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58318431.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111121000122001 its reverse (100221000121111), we get a palindrome (211342000243112).

The spelling of 111121000122001 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred twenty-two thousand, one".