10011020000020 has 96 divisors (see below), whose sum is σ = 22697560519200. Its totient is φ = 3687034650624.

The previous prime is 10011019999979. The next prime is 10011020000071. The reversal of 10011020000020 is 2000002011001.

It can be written as a sum of positive squares in 16 ways, for example, as 1948134811536 + 8062885188484 = 1395756^2 + 2839522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10011019999958 and 10011020000012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395539126 + ... + 395564434.

It is an arithmetic number, because the mean of its divisors is an integer number (236432922075).

Almost surely, 2^{10011020000020} is an apocalyptic number.

10011020000020 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 10011020000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11348780259600).

10011020000020 is an abundant number, since it is smaller than the sum of its proper divisors (12686540519180).

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

10011020000020 is a wasteful number, since it uses less digits than its factorization.

10011020000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29117 (or 29115 counting only the distinct ones).

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

Adding to 10011020000020 its reverse (2000002011001), we get a palindrome (12011022011021).

The spelling of 10011020000020 in words is "ten trillion, eleven billion, twenty million, twenty", and thus it is an aban number and an uban number.