221211112202120 has 128 divisors (see below), whose sum is σ = 517194193824000. Its totient is φ = 85050924672000.

The previous prime is 221211112202089. The next prime is 221211112202239. The reversal of 221211112202120 is 21202211112122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221211112202092 and 221211112202101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593488934 + ... + 593861546.

It is an arithmetic number, because the mean of its divisors is an integer number (4040579639250).

Almost surely, 2^{221211112202120} is an apocalyptic number.

221211112202120 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 221211112202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258597096912000).

221211112202120 is an abundant number, since it is smaller than the sum of its proper divisors (295983081621880).

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

221211112202120 is a wasteful number, since it uses less digits than its factorization.

221211112202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374943 (or 374939 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221211112202120 its reverse (21202211112122), we get a palindrome (242413323314242).

The spelling of 221211112202120 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred twelve million, two hundred two thousand, one hundred twenty".