10011020221220 has 24 divisors (see below), whose sum is σ = 21023345253624. Its totient is φ = 4004369462016.

The previous prime is 10011020221093. The next prime is 10011020221249. The reversal of 10011020221220 is 2212202011001.

It can be written as a sum of positive squares in 4 ways, for example, as 3123468544 + 10007896752676 = 55888^2 + 3163526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10011020221195 and 10011020221204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241217 + ... + 4481096.

It is an arithmetic number, because the mean of its divisors is an integer number (875972718901).

Almost surely, 2^{10011020221220} is an apocalyptic number.

10011020221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011020221220 is an abundant number, since it is smaller than the sum of its proper divisors (11012325032404).

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

10011020221220 is a wasteful number, since it uses less digits than its factorization.

10011020221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828319 (or 4828317 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10011020221220 its reverse (2212202011001), we get a palindrome (12223222232221).

The spelling of 10011020221220 in words is "ten trillion, eleven billion, twenty million, two hundred twenty-one thousand, two hundred twenty".