10021214334304 has 96 divisors (see below), whose sum is σ = 20617529516640. Its totient is φ = 4788564480000.

The previous prime is 10021214334301. The next prime is 10021214334349. The reversal of 10021214334304 is 40343341212001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021214334301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379678932 + ... + 379705324.

It is an arithmetic number, because the mean of its divisors is an integer number (214765932465).

Almost surely, 2^{10021214334304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021214334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10308764758320).

10021214334304 is an abundant number, since it is smaller than the sum of its proper divisors (10596315182336).

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

10021214334304 is a wasteful number, since it uses less digits than its factorization.

10021214334304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30584 (or 30576 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10021214334304 its reverse (40343341212001), we get a palindrome (50364555546305).

The spelling of 10021214334304 in words is "ten trillion, twenty-one billion, two hundred fourteen million, three hundred thirty-four thousand, three hundred four".