110002000120020 has 576 divisors, whose sum is σ = 346835917209600. Its totient is φ = 28204615756800.

The previous prime is 110002000119983. The next prime is 110002000120079. The reversal of 110002000120020 is 20021000200011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110002000119984 and 110002000120011.

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 191 ways as a sum of consecutive naturals, for example, 61487981286 + ... + 61487983074.

It is an arithmetic number, because the mean of its divisors is an integer number (602145689600).

Almost surely, 2^{110002000120020} is an apocalyptic number.

110002000120020 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 110002000120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173417958604800).

110002000120020 is an abundant number, since it is smaller than the sum of its proper divisors (236833917089580).

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

110002000120020 is a wasteful number, since it uses less digits than its factorization.

110002000120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110002000120020 its reverse (20021000200011), we get a palindrome (130023000320031).

The spelling of 110002000120020 in words is "one hundred ten trillion, two billion, one hundred twenty thousand, twenty".