110122112001201 has 16 divisors (see below), whose sum is σ = 150965710603008. Its totient is φ = 71359842153600.

The previous prime is 110122112001151. The next prime is 110122112001203. The reversal of 110122112001201 is 102100211221011.

It is a happy number.

It is not a de Polignac number, because 110122112001201 - 2¹⁰ = 110122112000177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110122112001203) 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 15 ways as a sum of consecutive naturals, for example, 1651814866 + ... + 1651881531.

It is an arithmetic number, because the mean of its divisors is an integer number (9435356912688).

Almost surely, 2^{110122112001201} is an apocalyptic number.

It is an amenable number.

110122112001201 is a deficient number, since it is larger than the sum of its proper divisors (40843598601807).

110122112001201 is a wasteful number, since it uses less digits than its factorization.

110122112001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303696712.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110122112001201 its reverse (102100211221011), we get a palindrome (212222323222212).

The spelling of 110122112001201 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred twelve million, one thousand, two hundred one".