21220010021120 has 72 divisors (see below), whose sum is σ = 51331808588760. Its totient is φ = 8403964313600.

The previous prime is 21220010021087. The next prime is 21220010021131. The reversal of 21220010021120 is 2112001002212.

It can be written as a sum of positive squares in 4 ways, for example, as 1857616347136 + 19362393673984 = 1362944^2 + 4400272^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21220010021095 and 21220010021104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81940685 + ... + 82199244.

It is an arithmetic number, because the mean of its divisors is an integer number (712941785955).

Almost surely, 2^{21220010021120} is an apocalyptic number.

21220010021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220010021120 is an abundant number, since it is smaller than the sum of its proper divisors (30111798567640).

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

21220010021120 is a wasteful number, since it uses less digits than its factorization.

21220010021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164140051 (or 164140037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21220010021120 its reverse (2112001002212), we get a palindrome (23332011023332).

The spelling of 21220010021120 in words is "twenty-one trillion, two hundred twenty billion, ten million, twenty-one thousand, one hundred twenty".