220121000010 has 160 divisors (see below), whose sum is σ = 623369736000. Its totient is φ = 55579426560.

The previous prime is 220121000009. The next prime is 220121000027. The reversal of 220121000010 is 10000121022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220120999956 and 220121000001.

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 79 ways as a sum of consecutive naturals, for example, 46921765 + ... + 46926455.

It is an arithmetic number, because the mean of its divisors is an integer number (3896060850).

Almost surely, 2^220121000010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220121000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311684868000).

220121000010 is an abundant number, since it is smaller than the sum of its proper divisors (403248735990).

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

220121000010 is a wasteful number, since it uses less digits than its factorization.

220121000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220121000010 its reverse (10000121022), we get a palindrome (230121121032).

The spelling of 220121000010 in words is "two hundred twenty billion, one hundred twenty-one million, ten", and thus it is an aban number.