110202022122112 has 128 divisors (see below), whose sum is σ = 238359068485200. Its totient is φ = 50558195466240.

The previous prime is 110202022122091. The next prime is 110202022122149. The reversal of 110202022122112 is 211221220202011.

It can be written as a sum of positive squares in 8 ways, for example, as 6073385651776 + 104128636470336 = 2464424^2 + 10204344^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 110202022122112.

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, 11325564 + ... + 18672772.

Almost surely, 2^{110202022122112} 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 110202022122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119179534242600).

110202022122112 is an abundant number, since it is smaller than the sum of its proper divisors (128157046363088).

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

110202022122112 is a wasteful number, since it uses less digits than its factorization.

110202022122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347414 (or 7347402 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 110202022122112 its reverse (211221220202011), we get a palindrome (321423242324123).

The spelling of 110202022122112 in words is "one hundred ten trillion, two hundred two billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".