21211002011220 has 192 divisors, whose sum is σ = 73539212414976. Its totient is φ = 4456921835520.

The previous prime is 21211002011209. The next prime is 21211002011291. The reversal of 21211002011220 is 2211020011212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21211002011220.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 34236336 + ... + 34850375.

It is an arithmetic number, because the mean of its divisors is an integer number (383016731328).

Almost surely, 2^{21211002011220} is an apocalyptic number.

21211002011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211002011220 is an abundant number, since it is smaller than the sum of its proper divisors (52328210403756).

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

21211002011220 is a wasteful number, since it uses less digits than its factorization.

21211002011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69086790 (or 69086788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21211002011220 its reverse (2211020011212), we get a palindrome (23422022022432).

The spelling of 21211002011220 in words is "twenty-one trillion, two hundred eleven billion, two million, eleven thousand, two hundred twenty".