21122220130011 has 288 divisors, whose sum is σ = 43551949529088. Its totient is φ = 9678530695680.

The previous prime is 21122220129991. The next prime is 21122220130013. The reversal of 21122220130011 is 11003102222112.

21122220130011 is a `hidden beast` number, since 21 + 122 + 220 + 1 + 300 + 1 + 1 = 666.

It is not a de Polignac number, because 21122220130011 - 2²³ = 21122211741403 is a prime.

It is a super-2 number, since 2×21122220130011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122220130013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1576631365 + ... + 1576644761.

It is an arithmetic number, because the mean of its divisors is an integer number (151222046976).

Almost surely, 2^{21122220130011} is an apocalyptic number.

21122220130011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21122220130011 is an abundant number, since it is smaller than the sum of its proper divisors (22429729399077).

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

21122220130011 is a wasteful number, since it uses less digits than its factorization.

21122220130011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14551 (or 14541 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21122220130011 its reverse (11003102222112), we get a palindrome (32125322352123).

The spelling of 21122220130011 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty million, one hundred thirty thousand, eleven".