110010110002122 has 64 divisors (see below), whose sum is σ = 242574058412928. Its totient is φ = 32982430560000.

The previous prime is 110010110002033. The next prime is 110010110002129. The reversal of 110010110002122 is 221200011010011.

It is a junction number, because it is equal to n+sod(n) for n = 110010110002098 and 110010110002107.

It is not an unprimeable number, because it can be changed into a prime (110010110002129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3230668 + ... + 15180824.

It is an arithmetic number, because the mean of its divisors is an integer number (3790219662702).

Almost surely, 2^{110010110002122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010110002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121287029206464).

110010110002122 is an abundant number, since it is smaller than the sum of its proper divisors (132563948410806).

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

110010110002122 is a wasteful number, since it uses less digits than its factorization.

110010110002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11951655.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110010110002122 its reverse (221200011010011), we get a palindrome (331210121012133).

The spelling of 110010110002122 in words is "one hundred ten trillion, ten billion, one hundred ten million, two thousand, one hundred twenty-two".