221120101211200 has 168 divisors, whose sum is σ = 548646478893824. Its totient is φ = 87709962240000.

The previous prime is 221120101211183. The next prime is 221120101211201. The reversal of 221120101211200 is 2112101021122.

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

It is not an unprimeable number, because it can be changed into a prime (221120101211201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138610105 + ... + 140196295.

Almost surely, 2^{221120101211200} is an apocalyptic number.

221120101211200 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 221120101211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274323239446912).

221120101211200 is an abundant number, since it is smaller than the sum of its proper divisors (327526377682624).

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

221120101211200 is a wasteful number, since it uses less digits than its factorization.

221120101211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586941 (or 1586926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221120101211200 its reverse (2112101021122), we get a palindrome (223232202232322).

The spelling of 221120101211200 in words is "two hundred twenty-one trillion, one hundred twenty billion, one hundred one million, two hundred eleven thousand, two hundred".