10221402104420 has 96 divisors (see below), whose sum is σ = 23169720803040. Its totient is φ = 3765306654720.

The previous prime is 10221402104383. The next prime is 10221402104429. The reversal of 10221402104420 is 2440120412201.

It can be written as a sum of positive squares in 16 ways, for example, as 5306029324324 + 4915372780096 = 2303482^2 + 2217064^2 .

It is not an unprimeable number, because it can be changed into a prime (10221402104429) 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, 372907676 + ... + 372935084.

It is an arithmetic number, because the mean of its divisors is an integer number (241351258365).

Almost surely, 2^{10221402104420} is an apocalyptic number.

10221402104420 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 10221402104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11584860401520).

10221402104420 is an abundant number, since it is smaller than the sum of its proper divisors (12948318698620).

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

10221402104420 is a wasteful number, since it uses less digits than its factorization.

10221402104420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30705 (or 30703 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 10221402104420 its reverse (2440120412201), we get a palindrome (12661522516621).

The spelling of 10221402104420 in words is "ten trillion, two hundred twenty-one billion, four hundred two million, one hundred four thousand, four hundred twenty".