110020012202128 has 120 divisors (see below), whose sum is σ = 252084089023200. Its totient is φ = 46374712602624.

The previous prime is 110020012202081. The next prime is 110020012202129. The reversal of 110020012202128 is 821202210020011.

It is a junction number, because it is equal to n+sod(n) for n = 110020012202099 and 110020012202108.

It is not an unprimeable number, because it can be changed into a prime (110020012202129) 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 23 ways as a sum of consecutive naturals, for example, 6942768 + ... + 16378096.

It is an arithmetic number, because the mean of its divisors is an integer number (2100700741860).

Almost surely, 2^{110020012202128} 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 110020012202128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126042044511600).

110020012202128 is an abundant number, since it is smaller than the sum of its proper divisors (142064076821072).

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

110020012202128 is a wasteful number, since it uses less digits than its factorization.

110020012202128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9435597 (or 9435584 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 110020012202128 its reverse (821202210020011), we get a palindrome (931222222222139).

The spelling of 110020012202128 in words is "one hundred ten trillion, twenty billion, twelve million, two hundred two thousand, one hundred twenty-eight".