21211111201120 has 192 divisors, whose sum is σ = 51920104287744. Its totient is φ = 8183234949120.

The previous prime is 21211111201069. The next prime is 21211111201139. The reversal of 21211111201120 is 2110211111212.

It is a super-2 number, since 2×21211111201120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21211111201094 and 21211111201103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1319665404 + ... + 1319681476.

It is an arithmetic number, because the mean of its divisors is an integer number (270417209832).

Almost surely, 2^{21211111201120} is an apocalyptic number.

21211111201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211111201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25960052143872).

21211111201120 is an abundant number, since it is smaller than the sum of its proper divisors (30708993086624).

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

21211111201120 is a wasteful number, since it uses less digits than its factorization.

21211111201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18525 (or 18517 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 21211111201120 its reverse (2110211111212), we get a palindrome (23321322312332).

The spelling of 21211111201120 in words is "twenty-one trillion, two hundred eleven billion, one hundred eleven million, two hundred one thousand, one hundred twenty".