20101204224 has 108 divisors (see below), whose sum is σ = 58531233852. Its totient is φ = 6633984000.

The previous prime is 20101204213. The next prime is 20101204247. The reversal of 20101204224 is 42240210102.

It can be written as a sum of positive squares in 2 ways, for example, as 14806022400 + 5295181824 = 121680^2 + 72768^2 .

It is a super-2 number, since 2×20101204224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20101204197 and 20101204206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189514 + ... + 275894.

It is an arithmetic number, because the mean of its divisors is an integer number (541955869).

Almost surely, 2^20101204224 is an apocalyptic number.

20101204224 is a gapful number since it is divisible by the number (24) 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 20101204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29265616926).

20101204224 is an abundant number, since it is smaller than the sum of its proper divisors (38430029628).

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

20101204224 is a wasteful number, since it uses less digits than its factorization.

20101204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86504 (or 86487 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20101204224 its reverse (42240210102), we get a palindrome (62341414326).

The spelling of 20101204224 in words is "twenty billion, one hundred one million, two hundred four thousand, two hundred twenty-four".