21122033310000 has 400 divisors, whose sum is σ = 86583804313600. Its totient is φ = 4827892896000.

The previous prime is 21122033309963. The next prime is 21122033310017. The reversal of 21122033310000 is 1333022112.

21122033310000 is a `hidden beast` number, since 2 + 11 + 220 + 333 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×21122033310000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3697840 + ... + 7477839.

It is an arithmetic number, because the mean of its divisors is an integer number (216459510784).

Almost surely, 2^{21122033310000} is an apocalyptic number.

21122033310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122033310000 is an abundant number, since it is smaller than the sum of its proper divisors (65461771003600).

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

21122033310000 is a wasteful number, since it uses less digits than its factorization.

21122033310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11175723 (or 11175696 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21122033310000 its reverse (1333022112), we get a palindrome (21123366332112).

The spelling of 21122033310000 in words is "twenty-one trillion, one hundred twenty-two billion, thirty-three million, three hundred ten thousand".