21211010111120 has 80 divisors (see below), whose sum is σ = 49439642535360. Its totient is φ = 8463075878400.

The previous prime is 21211010111117. The next prime is 21211010111147. The reversal of 21211010111120 is 2111101011212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21211010111095 and 21211010111104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108292475 + ... + 108488165.

It is an arithmetic number, because the mean of its divisors is an integer number (617995531692).

Almost surely, 2^{21211010111120} is an apocalyptic number.

21211010111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211010111120 is an abundant number, since it is smaller than the sum of its proper divisors (28228632424240).

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

21211010111120 is a wasteful number, since it uses less digits than its factorization.

21211010111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199104 (or 199098 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21211010111120 its reverse (2111101011212), we get a palindrome (23322111122332).

The spelling of 21211010111120 in words is "twenty-one trillion, two hundred eleven billion, ten million, one hundred eleven thousand, one hundred twenty".