21221121120010 has 48 divisors (see below), whose sum is σ = 44434947163464. Its totient is φ = 7275728130048.

The previous prime is 21221121120007. The next prime is 21221121120013. The reversal of 21221121120010 is 1002112112212.

It is an interprime number because it is at equal distance from previous prime (21221121120007) and next prime (21221121120013).

It can be written as a sum of positive squares in 4 ways, for example, as 19861898575561 + 1359222544449 = 4456669^2 + 1165857^2 .

It is not an unprimeable number, because it can be changed into a prime (21221121120013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53475442 + ... + 53870818.

Almost surely, 2^{21221121120010} is an apocalyptic number.

21221121120010 is an abundant number, since it is smaller than the sum of its proper divisors (23213826043454).

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

21221121120010 is a wasteful number, since it uses less digits than its factorization.

21221121120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504935 (or 504928 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21221121120010 its reverse (1002112112212), we get a palindrome (22223233232222).

The spelling of 21221121120010 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, ten".