10220221312 has 64 divisors (see below), whose sum is σ = 23387775840. Its totient is φ = 4357785600.

The previous prime is 10220221229. The next prime is 10220221337. The reversal of 10220221312 is 21312202201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147562 + ... + 205462.

Almost surely, 2^10220221312 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 10220221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11693887920).

10220221312 is an abundant number, since it is smaller than the sum of its proper divisors (13167554528).

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

10220221312 is an equidigital number, since it uses as much as digits as its factorization.

10220221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58119 (or 58107 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10220221312 its reverse (21312202201), we get a palindrome (31532423513).

The spelling of 10220221312 in words is "ten billion, two hundred twenty million, two hundred twenty-one thousand, three hundred twelve".