110111212122001 has 8 divisors (see below), whose sum is σ = 110173191033384. Its totient is φ = 110049238400640.

The previous prime is 110111212121971. The next prime is 110111212122047. The reversal of 110111212122001 is 100221212111011.

It can be written as a sum of positive squares in 4 ways, for example, as 75137708576401 + 34973503545600 = 8668201^2 + 5913840^2 .

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 110111212122001 - 2⁹ = 110111212121489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110111212122071) 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, 41544021 + ... + 44114941.

It is an arithmetic number, because the mean of its divisors is an integer number (13771648879173).

Almost surely, 2^{110111212122001} is an apocalyptic number.

It is an amenable number.

110111212122001 is a deficient number, since it is larger than the sum of its proper divisors (61978911383).

110111212122001 is a wasteful number, since it uses less digits than its factorization.

110111212122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595011.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110111212122001 its reverse (100221212111011), we get a palindrome (210332424233012).

The spelling of 110111212122001 in words is "one hundred ten trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, one".