110011012200 has 288 divisors, whose sum is σ = 380606499000. Its totient is φ = 28455598080.

The previous prime is 110011012171. The next prime is 110011012213. The reversal of 110011012200 is 2210110011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 18699468516 + 91311543684 = 136746^2 + 302178^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23241034 + ... + 23245766.

Almost surely, 2^110011012200 is an apocalyptic number.

110011012200 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 110011012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190303249500).

110011012200 is an abundant number, since it is smaller than the sum of its proper divisors (270595486800).

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

110011012200 is a wasteful number, since it uses less digits than its factorization.

110011012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5129 counting only the distinct ones).

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

Adding to 110011012200 its reverse (2210110011), we get a palindrome (112221122211).

It can be divided in two parts, 11001 and 1012200, that added together give a palindrome (1023201).

The spelling of 110011012200 in words is "one hundred ten billion, eleven million, twelve thousand, two hundred".