10034221312 has 72 divisors (see below), whose sum is σ = 20605596704. Its totient is φ = 4874010624.

The previous prime is 10034221259. The next prime is 10034221313. The reversal of 10034221312 is 21312243001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10034221312.

It is not an unprimeable number, because it can be changed into a prime (10034221313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2122183 + ... + 2126905.

Almost surely, 2^10034221312 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 10034221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10302798352).

10034221312 is an abundant number, since it is smaller than the sum of its proper divisors (10571375392).

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

10034221312 is an equidigital number, since it uses as much as digits as its factorization.

10034221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10034221312 its reverse (21312243001), we get a palindrome (31346464313).

The spelling of 10034221312 in words is "ten billion, thirty-four million, two hundred twenty-one thousand, three hundred twelve".