110020011201 has 12 divisors (see below), whose sum is σ = 161523004500. Its totient is φ = 72144269280.

The previous prime is 110020011161. The next prime is 110020011221. The reversal of 110020011201 is 102110020011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33401217600 + 76618793601 = 182760^2 + 276801^2 .

It is not a de Polignac number, because 110020011201 - 2⁹ = 110020010689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110020011221) 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 11 ways as a sum of consecutive naturals, for example, 100199826 + ... + 100200923.

It is an arithmetic number, because the mean of its divisors is an integer number (13460250375).

Almost surely, 2^110020011201 is an apocalyptic number.

It is an amenable number.

110020011201 is a deficient number, since it is larger than the sum of its proper divisors (51502993299).

110020011201 is a wasteful number, since it uses less digits than its factorization.

110020011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200400816 (or 200400813 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110020011201 its reverse (102110020011), we get a palindrome (212130031212).

It can be divided in two parts, 1100 and 20011201, that added together give a triangular number (20012301 = T₆₃₂₆).

The spelling of 110020011201 in words is "one hundred ten billion, twenty million, eleven thousand, two hundred one".