110110122100020 has 192 divisors, whose sum is σ = 359879663808000. Its totient is φ = 25144479360000.

The previous prime is 110110122100007. The next prime is 110110122100037. The reversal of 110110122100020 is 20001221011011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110110122099969 and 110110122100005.

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 63 ways as a sum of consecutive naturals, for example, 19497520 + ... + 24502520.

It is an arithmetic number, because the mean of its divisors is an integer number (1874373249000).

Almost surely, 2^{110110122100020} is an apocalyptic number.

110110122100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110122100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179939831904000).

110110122100020 is an abundant number, since it is smaller than the sum of its proper divisors (249769541707980).

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

110110122100020 is a wasteful number, since it uses less digits than its factorization.

110110122100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006103 (or 5006087 counting only the distinct ones).

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

Adding to 110110122100020 its reverse (20001221011011), we get a palindrome (130111343111031).

The spelling of 110110122100020 in words is "one hundred ten trillion, one hundred ten billion, one hundred twenty-two million, one hundred thousand, twenty".