21211111101120 has 112 divisors (see below), whose sum is σ = 70889766109440. Its totient is φ = 5358596484096.

The previous prime is 21211111101119. The next prime is 21211111101151. The reversal of 21211111101120 is 2110111111212.

It is a super-2 number, since 2×21211111101120² (a number of 27 digits) contains 22 as substring.

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 21211111101120.

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, 581426692 + ... + 581463171.

Almost surely, 2^{21211111101120} is an apocalyptic number.

21211111101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211111101120 is an abundant number, since it is smaller than the sum of its proper divisors (49678655008320).

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

21211111101120 is a wasteful number, since it uses less digits than its factorization.

21211111101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162889902 (or 1162889892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 21211111101120 its reverse (2110111111212), we get a palindrome (23321222212332).

The spelling of 21211111101120 in words is "twenty-one trillion, two hundred eleven billion, one hundred eleven million, one hundred one thousand, one hundred twenty".