10221434420442 has 96 divisors (see below), whose sum is σ = 24585547161600. Its totient is φ = 2821833272160.

The previous prime is 10221434420413. The next prime is 10221434420443. The reversal of 10221434420442 is 24402443412201.

It is a super-2 number, since 2×10221434420442² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221434420443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5030059 + ... + 6763457.

It is an arithmetic number, because the mean of its divisors is an integer number (256099449600).

Almost surely, 2^{10221434420442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221434420442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292773580800).

10221434420442 is an abundant number, since it is smaller than the sum of its proper divisors (14364112741158).

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

10221434420442 is a wasteful number, since it uses less digits than its factorization.

10221434420442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734096 (or 1734089 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 10221434420442 its reverse (24402443412201), we get a palindrome (34623877832643).

The spelling of 10221434420442 in words is "ten trillion, two hundred twenty-one billion, four hundred thirty-four million, four hundred twenty thousand, four hundred forty-two".