110001202020 has 144 divisors (see below), whose sum is σ = 343789795440. Its totient is φ = 28449128448.

The previous prime is 110001201991. The next prime is 110001202079. The reversal of 110001202020 is 20202100011.

It can be written as a sum of positive squares in 8 ways, for example, as 10734617664 + 99266584356 = 103608^2 + 315066^2 .

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 = 110001201993 and 110001202011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2058196 + ... + 2110964.

It is an arithmetic number, because the mean of its divisors is an integer number (2387429135).

Almost surely, 2^110001202020 is an apocalyptic number.

110001202020 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 110001202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171894897720).

110001202020 is an abundant number, since it is smaller than the sum of its proper divisors (233788593420).

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

110001202020 is a wasteful number, since it uses less digits than its factorization.

110001202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53134 (or 53129 counting only the distinct ones).

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

Adding to 110001202020 its reverse (20202100011), we get a palindrome (130203302031).

The spelling of 110001202020 in words is "one hundred ten billion, one million, two hundred two thousand, twenty".