110133100000001 has 16 divisors (see below), whose sum is σ = 119327050908240. Its totient is φ = 101643965804160.

The previous prime is 110133099999983. The next prime is 110133100000019. The reversal of 110133100000001 is 100000001331011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110133099999983) and next prime (110133100000019).

It can be written as a sum of positive squares in 8 ways, for example, as 83104008499600 + 27029091500401 = 9116140^2 + 5198951^2 .

It is not a de Polignac number, because 110133100000001 - 2¹⁴ = 110133099983617 is a prime.

It is a super-2 number, since 2×110133100000001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110133100000051) 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, 8600141 + ... + 17153093.

It is an arithmetic number, because the mean of its divisors is an integer number (7457940681765).

Almost surely, 2^{110133100000001} is an apocalyptic number.

It is an amenable number.

110133100000001 is a deficient number, since it is larger than the sum of its proper divisors (9193950908239).

110133100000001 is an frugal number, since it uses more digits than its factorization.

110133100000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558853 (or 8558827 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 110133100000001 its reverse (100000001331011), we get a palindrome (210133101331012).

The spelling of 110133100000001 in words is "one hundred ten trillion, one hundred thirty-three billion, one hundred million, one", and thus it is an aban number.