21211010021120 has 144 divisors (see below), whose sum is σ = 53486541696000. Its totient is φ = 8037031071744.

The previous prime is 21211010021057. The next prime is 21211010021129. The reversal of 21211010021120 is 2112001011212.

It is a super-2 number, since 2×21211010021120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21211010021095 and 21211010021104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211010021129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270374861 + ... + 270453299.

Almost surely, 2^{21211010021120} is an apocalyptic number.

21211010021120 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 21211010021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26743270848000).

21211010021120 is an abundant number, since it is smaller than the sum of its proper divisors (32275531674880).

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

21211010021120 is a wasteful number, since it uses less digits than its factorization.

21211010021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89598 (or 89584 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21211010021120 its reverse (2112001011212), we get a palindrome (23323011032332).

The spelling of 21211010021120 in words is "twenty-one trillion, two hundred eleven billion, ten million, twenty-one thousand, one hundred twenty".