10220322400 has 72 divisors (see below), whose sum is σ = 24970823640. Its totient is φ = 4084776960.

The previous prime is 10220322397. The next prime is 10220322407. The reversal of 10220322400 is 422302201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220322407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1122667 + ... + 1131733.

It is an arithmetic number, because the mean of its divisors is an integer number (346816995).

Almost surely, 2^10220322400 is an apocalyptic number.

10220322400 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 10220322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12485411820).

10220322400 is an abundant number, since it is smaller than the sum of its proper divisors (14750501240).

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

10220322400 is a wasteful number, since it uses less digits than its factorization.

10220322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10496 (or 10483 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10220322400 its reverse (422302201), we get a palindrome (10642624601).

The spelling of 10220322400 in words is "ten billion, two hundred twenty million, three hundred twenty-two thousand, four hundred".