10002211021220 has 96 divisors (see below), whose sum is σ = 23259878199936. Its totient is φ = 3582308505600.

The previous prime is 10002211021177. The next prime is 10002211021261. The reversal of 10002211021220 is 2212011220001.

It is a junction number, because it is equal to n+sod(n) for n = 10002211021195 and 10002211021204.

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 31 ways as a sum of consecutive naturals, for example, 98132204 + ... + 98234076.

It is an arithmetic number, because the mean of its divisors is an integer number (242290397916).

Almost surely, 2^{10002211021220} is an apocalyptic number.

10002211021220 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 10002211021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11629939099968).

10002211021220 is an abundant number, since it is smaller than the sum of its proper divisors (13257667178716).

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

10002211021220 is a wasteful number, since it uses less digits than its factorization.

10002211021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108621 (or 108619 counting only the distinct ones).

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

Adding to 10002211021220 its reverse (2212011220001), we get a palindrome (12214222241221).

The spelling of 10002211021220 in words is "ten trillion, two billion, two hundred eleven million, twenty-one thousand, two hundred twenty".