110121200100 has 108 divisors (see below), whose sum is σ = 345768627204. Its totient is φ = 29314621440.

The previous prime is 110121200029. The next prime is 110121200227. The reversal of 110121200100 is 1002121011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1126139364 + 108995060736 = 33558^2 + 330144^2 .

It is a super-2 number, since 2×110121200100² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 413272 + ... + 625328.

It is an arithmetic number, because the mean of its divisors is an integer number (3201561363).

Almost surely, 2^110121200100 is an apocalyptic number.

110121200100 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 110121200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172884313602).

110121200100 is an abundant number, since it is smaller than the sum of its proper divisors (235647427104).

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

110121200100 is a wasteful number, since it uses less digits than its factorization.

110121200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212654 (or 212644 counting only the distinct ones).

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

Adding to 110121200100 its reverse (1002121011), we get a palindrome (111123321111).

The spelling of 110121200100 in words is "one hundred ten billion, one hundred twenty-one million, two hundred thousand, one hundred".