110022120200200 has 384 divisors, whose sum is σ = 286035512868000. Its totient is φ = 39077447270400.

The previous prime is 110022120200143. The next prime is 110022120200219. The reversal of 110022120200200 is 2002021220011.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 48963242895876 + 61058877304324 = 6997374^2 + 7814018^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25368252432 + ... + 25368256768.

Almost surely, 2^{110022120200200} is an apocalyptic number.

110022120200200 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 110022120200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143017756434000).

110022120200200 is an abundant number, since it is smaller than the sum of its proper divisors (176013392667800).

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

110022120200200 is a wasteful number, since it uses less digits than its factorization.

110022120200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 110022120200200 its reverse (2002021220011), we get a palindrome (112024141420211).

The spelling of 110022120200200 in words is "one hundred ten trillion, twenty-two billion, one hundred twenty million, two hundred thousand, two hundred".