122201122110 has 64 divisors (see below), whose sum is σ = 301802414400. Its totient is φ = 31643799552.

The previous prime is 122201122103. The next prime is 122201122129. The reversal of 122201122110 is 11221102221.

122201122110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122201122110² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122201122110.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 456846 + ... + 673134.

It is an arithmetic number, because the mean of its divisors is an integer number (4715662725).

Almost surely, 2^122201122110 is an apocalyptic number.

122201122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122201122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150901207200).

122201122110 is an abundant number, since it is smaller than the sum of its proper divisors (179601292290).

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

122201122110 is a wasteful number, since it uses less digits than its factorization.

122201122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216845.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122201122110 its reverse (11221102221), we get a palindrome (133422224331).

The spelling of 122201122110 in words is "one hundred twenty-two billion, two hundred one million, one hundred twenty-two thousand, one hundred ten".