10224100000 has 72 divisors (see below), whose sum is σ = 25159506876. Its totient is φ = 4089600000.

The previous prime is 10224099989. The next prime is 10224100009. The reversal of 10224100000 is 142201.

It can be written as a sum of positive squares in 6 ways, for example, as 711608976 + 9512491024 = 26676^2 + 97532^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10224100000.

It is not an unprimeable number, because it can be changed into a prime (10224100009) 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, 48880 + ... + 151120.

Almost surely, 2^10224100000 is an apocalyptic number.

10224100000 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 10224100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579753438).

10224100000 is an abundant number, since it is smaller than the sum of its proper divisors (14935406876).

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

10224100000 is an frugal number, since it uses more digits than its factorization.

10224100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102276 (or 102248 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10224100000 its reverse (142201), we get a palindrome (10224242201).

It can be divided in two parts, 10224 and 100000, that added together give a square (110224 = 332²).

The spelling of 10224100000 in words is "ten billion, two hundred twenty-four million, one hundred thousand".