111122120122001 has 8 divisors (see below), whose sum is σ = 111586051289064. Its totient is φ = 110658212455680.

The previous prime is 111122120121949. The next prime is 111122120122031. The reversal of 111122120122001 is 100221021221111.

It can be written as a sum of positive squares in 4 ways, for example, as 38848743231376 + 72273376890625 = 6232876^2 + 8501375^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111122120122001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111122120122031) 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, 3633515 + ... + 15344271.

It is an arithmetic number, because the mean of its divisors is an integer number (13948256411133).

Almost surely, 2^{111122120122001} is an apocalyptic number.

It is an amenable number.

111122120122001 is a deficient number, since it is larger than the sum of its proper divisors (463931167063).

111122120122001 is a wasteful number, since it uses less digits than its factorization.

111122120122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11750371.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 111122120122001 its reverse (100221021221111), we get a palindrome (211343141343112).

The spelling of 111122120122001 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one".