110011210100113 has 12 divisors (see below), whose sum is σ = 127972576109172. Its totient is φ = 94295063489760.

The previous prime is 110011210100023. The next prime is 110011210100171. The reversal of 110011210100113 is 311001012110011.

It can be written as a sum of positive squares in 2 ways, for example, as 104660838630544 + 5350371469569 = 10230388^2 + 2313087^2 .

It is not a de Polignac number, because 110011210100113 - 2⁴⁵ = 74826838011281 is a prime.

It is a super-2 number, since 2×110011210100113² (a number of 29 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 = 110011210100093 and 110011210100102.

It is not an unprimeable number, because it can be changed into a prime (110011210100213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16106431 + ... + 21896107.

It is an arithmetic number, because the mean of its divisors is an integer number (10664381342431).

Almost surely, 2^{110011210100113} is an apocalyptic number.

It is an amenable number.

110011210100113 is a deficient number, since it is larger than the sum of its proper divisors (17961366009059).

110011210100113 is an equidigital number, since it uses as much as digits as its factorization.

110011210100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6177472 (or 6177465 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 110011210100113 its reverse (311001012110011), we get a palindrome (421012222210124).

The spelling of 110011210100113 in words is "one hundred ten trillion, eleven billion, two hundred ten million, one hundred thousand, one hundred thirteen".