110030133112100 has 144 divisors (see below), whose sum is σ = 253119617338896. Its totient is φ = 41372467200000.

The previous prime is 110030133112091. The next prime is 110030133112111. The reversal of 110030133112100 is 1211331030011.

It can be written as a sum of positive squares in 24 ways, for example, as 25714067377216 + 84316065734884 = 5070904^2 + 9182378^2 .

It is a super-3 number, since 3×110030133112100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12224207600 + ... + 12224216600.

It is an arithmetic number, because the mean of its divisors is an integer number (1757775120409).

Almost surely, 2^{110030133112100} is an apocalyptic number.

110030133112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110030133112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126559808669448).

110030133112100 is an abundant number, since it is smaller than the sum of its proper divisors (143089484226796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110030133112100 is a wasteful number, since it uses less digits than its factorization.

110030133112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17026 (or 17019 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 110030133112100 its reverse (1211331030011), we get a palindrome (111241464142111).

The spelling of 110030133112100 in words is "one hundred ten trillion, thirty billion, one hundred thirty-three million, one hundred twelve thousand, one hundred".