10220321000 has 64 divisors (see below), whose sum is σ = 24054198480. Its totient is φ = 4064428800.

The previous prime is 10220320987. The next prime is 10220321051. The reversal of 10220321000 is 12302201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 641001124 + 9579319876 = 25318^2 + 97874^2 .

It is a super-2 number, since 2×10220321000² (a number of 21 digits) contains 22 as substring.

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, 143462 + ... + 202538.

Almost surely, 2^10220321000 is an apocalyptic number.

10220321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12027099240).

10220321000 is an abundant number, since it is smaller than the sum of its proper divisors (13833877480).

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

10220321000 is a wasteful number, since it uses less digits than its factorization.

10220321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59271 (or 59257 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10220321000 its reverse (12302201), we get a palindrome (10232623201).

The spelling of 10220321000 in words is "ten billion, two hundred twenty million, three hundred twenty-one thousand".