110110100002201 has 8 divisors (see below), whose sum is σ = 118581271661384. Its totient is φ = 101639094624000.

The previous prime is 110110100002169. The next prime is 110110100002213. The reversal of 110110100002201 is 102200001011011.

It can be written as a sum of positive squares in 4 ways, for example, as 66873960000 + 110043226042201 = 258600^2 + 10490149^2 .

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 110110100002201 - 2⁵ = 110110100002169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110110100002261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40193226 + ... + 42845251.

It is an arithmetic number, because the mean of its divisors is an integer number (14822658957673).

Almost surely, 2^{110110100002201} is an apocalyptic number.

It is an amenable number.

110110100002201 is a deficient number, since it is larger than the sum of its proper divisors (8471171659183).

110110100002201 is a wasteful number, since it uses less digits than its factorization.

110110100002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83140491.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110110100002201 its reverse (102200001011011), we get a palindrome (212310101013212).

The spelling of 110110100002201 in words is "one hundred ten trillion, one hundred ten billion, one hundred million, two thousand, two hundred one".