110200120220032 has 128 divisors (see below), whose sum is σ = 232849485792000. Its totient is φ = 51845167908864.

The previous prime is 110200120219991. The next prime is 110200120220041. The reversal of 110200120220032 is 230022021002011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110200120219988 and 110200120220015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43369243 + ... + 45839845.

It is an arithmetic number, because the mean of its divisors is an integer number (1819136607750).

Almost surely, 2^{110200120220032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110200120220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116424742896000).

110200120220032 is an abundant number, since it is smaller than the sum of its proper divisors (122649365571968).

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

110200120220032 is a wasteful number, since it uses less digits than its factorization.

110200120220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470888 (or 2470876 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 110200120220032 its reverse (230022021002011), we get a palindrome (340222141222043).

The spelling of 110200120220032 in words is "one hundred ten trillion, two hundred billion, one hundred twenty million, two hundred twenty thousand, thirty-two".