10220120110020 has 96 divisors (see below), whose sum is σ = 28914172148736. Its totient is φ = 2697027136000.

The previous prime is 10220120109959. The next prime is 10220120110027. The reversal of 10220120110020 is 2001102102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10220120109978 and 10220120110005.

It is not an unprimeable number, because it can be changed into a prime (10220120110027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11679565 + ... + 12524075.

It is an arithmetic number, because the mean of its divisors is an integer number (301189293216).

Almost surely, 2^{10220120110020} is an apocalyptic number.

10220120110020 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 10220120110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457086074368).

10220120110020 is an abundant number, since it is smaller than the sum of its proper divisors (18694052038716).

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

10220120110020 is a wasteful number, since it uses less digits than its factorization.

10220120110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846621 (or 846619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10220120110020 its reverse (2001102102201), we get a palindrome (12221222212221).

The spelling of 10220120110020 in words is "ten trillion, two hundred twenty billion, one hundred twenty million, one hundred ten thousand, twenty".