21132210033000 has 192 divisors, whose sum is σ = 77920222086720. Its totient is φ = 5122959984000.

The previous prime is 21132210032993. The next prime is 21132210033017. The reversal of 21132210033000 is 33001223112.

21132210033000 is a `hidden beast` number, since 2 + 1 + 1 + 322 + 10 + 0 + 330 + 0 + 0 = 666.

It is a super-2 number, since 2×21132210033000² (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 47 ways as a sum of consecutive naturals, for example, 106629334 + ... + 106827333.

It is an arithmetic number, because the mean of its divisors is an integer number (405834490035).

Almost surely, 2^{21132210033000} is an apocalyptic number.

21132210033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132210033000 is an abundant number, since it is smaller than the sum of its proper divisors (56788012053720).

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

21132210033000 is a wasteful number, since it uses less digits than its factorization.

21132210033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213456705 (or 213456688 counting only the distinct ones).

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

Adding to 21132210033000 its reverse (33001223112), we get a palindrome (21165211256112).

The spelling of 21132210033000 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred ten million, thirty-three thousand".