110002100011201 has 32 divisors (see below), whose sum is σ = 119368786231296. Its totient is φ = 101068993080000.

The previous prime is 110002100011187. The next prime is 110002100011213. The reversal of 110002100011201 is 102110001200011.

It is not a de Polignac number, because 110002100011201 - 2¹⁹ = 110002099486913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110002100011231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132766146 + ... + 133592116.

It is an arithmetic number, because the mean of its divisors is an integer number (3730274569728).

Almost surely, 2^{110002100011201} is an apocalyptic number.

It is an amenable number.

110002100011201 is a deficient number, since it is larger than the sum of its proper divisors (9366686220095).

110002100011201 is a wasteful number, since it uses less digits than its factorization.

110002100011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827413.

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

Adding to 110002100011201 its reverse (102110001200011), we get a palindrome (212112101211212).

The spelling of 110002100011201 in words is "one hundred ten trillion, two billion, one hundred million, eleven thousand, two hundred one".