10110020020 has 96 divisors (see below), whose sum is σ = 23322206880. Its totient is φ = 3664281600.

The previous prime is 10110020009. The next prime is 10110020051. The reversal of 10110020020 is 2002001101.

10110020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 119716 + 10109900304 = 346^2 + 100548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10110019985 and 10110020012.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3952582 + ... + 3955138.

It is an arithmetic number, because the mean of its divisors is an integer number (242939655).

Almost surely, 2^10110020020 is an apocalyptic number.

10110020020 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 10110020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11661103440).

10110020020 is an abundant number, since it is smaller than the sum of its proper divisors (13212186860).

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

10110020020 is a wasteful number, since it uses less digits than its factorization.

10110020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10110020020 its reverse (2002001101), we get a palindrome (12112021121).

The spelling of 10110020020 in words is "ten billion, one hundred ten million, twenty thousand, twenty".