221021211013120 has 312 divisors, whose sum is σ = 639737782471584. Its totient is φ = 71790331428864.

The previous prime is 221021211013091. The next prime is 221021211013129. The reversal of 221021211013120 is 21310112120122.

It is a super-2 number, since 2×221021211013120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (221021211013129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49617612 + ... + 53888308.

Almost surely, 2^{221021211013120} is an apocalyptic number.

221021211013120 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 221021211013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319868891235792).

221021211013120 is an abundant number, since it is smaller than the sum of its proper divisors (418716571458464).

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

221021211013120 is an equidigital number, since it uses as much as digits as its factorization.

221021211013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270771 (or 4270730 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 221021211013120 its reverse (21310112120122), we get a palindrome (242331323133242).

The spelling of 221021211013120 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred eleven million, thirteen thousand, one hundred twenty".