10020110121220 has 192 divisors, whose sum is σ = 22089704978880. Its totient is φ = 3814495027200.

The previous prime is 10020110121211. The next prime is 10020110121223. The reversal of 10020110121220 is 2212101102001.

It can be written as a sum of positive squares in 32 ways, for example, as 7443391714564 + 2576718406656 = 2728258^2 + 1605216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10020110121220.

It is not an unprimeable number, because it can be changed into a prime (10020110121223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2491942810 + ... + 2491946830.

It is an arithmetic number, because the mean of its divisors is an integer number (115050546765).

Almost surely, 2^{10020110121220} is an apocalyptic number.

10020110121220 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 10020110121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11044852489440).

10020110121220 is an abundant number, since it is smaller than the sum of its proper divisors (12069594857660).

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

10020110121220 is a wasteful number, since it uses less digits than its factorization.

10020110121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10020110121220 its reverse (2212101102001), we get a palindrome (12232211223221).

The spelling of 10020110121220 in words is "ten trillion, twenty billion, one hundred ten million, one hundred twenty-one thousand, two hundred twenty".