110122010022112 has 96 divisors (see below), whose sum is σ = 238862573205984. Its totient is φ = 49558029312000.

The previous prime is 110122010022107. The next prime is 110122010022119. The reversal of 110122010022112 is 211220010221011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122010022119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1561159708 + ... + 1561230244.

It is an arithmetic number, because the mean of its divisors is an integer number (2488151804229).

Almost surely, 2^{110122010022112} 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 110122010022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119431286602992).

110122010022112 is an abundant number, since it is smaller than the sum of its proper divisors (128740563183872).

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

110122010022112 is a wasteful number, since it uses less digits than its factorization.

110122010022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114572 (or 114564 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110122010022112 its reverse (211220010221011), we get a palindrome (321342020243123).

The spelling of 110122010022112 in words is "one hundred ten trillion, one hundred twenty-two billion, ten million, twenty-two thousand, one hundred twelve".