10221421010304 has 128 divisors (see below), whose sum is σ = 31111188422400. Its totient is φ = 2912700155904.

The previous prime is 10221421010279. The next prime is 10221421010329. The reversal of 10221421010304 is 40301012412201.

It is an interprime number because it is at equal distance from previous prime (10221421010279) and next prime (10221421010329).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3997887 + ... + 6035390.

It is an arithmetic number, because the mean of its divisors is an integer number (243056159550).

Almost surely, 2^{10221421010304} is an apocalyptic number.

10221421010304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10221421010304 is an abundant number, since it is smaller than the sum of its proper divisors (20889767412096).

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

10221421010304 is a wasteful number, since it uses less digits than its factorization.

10221421010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10033680 (or 10033668 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10221421010304 its reverse (40301012412201), we get a palindrome (50522433422505).

The spelling of 10221421010304 in words is "ten trillion, two hundred twenty-one billion, four hundred twenty-one million, ten thousand, three hundred four".