10220210400 has 144 divisors (see below), whose sum is σ = 33299368704. Its totient is φ = 2722721280.

The previous prime is 10220210389. The next prime is 10220210419. The reversal of 10220210400 is 401202201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4287609 + ... + 4289991.

It is an arithmetic number, because the mean of its divisors is an integer number (231245616).

Almost surely, 2^10220210400 is an apocalyptic number.

10220210400 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 10220210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16649684352).

10220210400 is an abundant number, since it is smaller than the sum of its proper divisors (23079158304).

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

10220210400 is a wasteful number, since it uses less digits than its factorization.

10220210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10220210400 its reverse (401202201), we get a palindrome (10621412601).

The spelling of 10220210400 in words is "ten billion, two hundred twenty million, two hundred ten thousand, four hundred".