110201100113 has 16 divisors (see below), whose sum is σ = 120637942656. Its totient is φ = 100048988160.

The previous prime is 110201100077. The next prime is 110201100133. The reversal of 110201100113 is 311001102011.

It is a happy number.

It is not a de Polignac number, because 110201100113 - 2⁶ = 110201100049 is a prime.

It is a super-2 number, since 2×110201100113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110201100094 and 110201100103.

It is not an unprimeable number, because it can be changed into a prime (110201100133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459620 + ... + 657002.

It is an arithmetic number, because the mean of its divisors is an integer number (7539871416).

Almost surely, 2^110201100113 is an apocalyptic number.

110201100113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110201100113 is a deficient number, since it is larger than the sum of its proper divisors (10436842543).

110201100113 is a wasteful number, since it uses less digits than its factorization.

110201100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198104.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 110201100113 its reverse (311001102011), we get a palindrome (421202202124).

The spelling of 110201100113 in words is "one hundred ten billion, two hundred one million, one hundred thousand, one hundred thirteen".