221210011001100 has 432 divisors, whose sum is σ = 747434546689824. Its totient is φ = 50299858329600.

The previous prime is 221210011001087. The next prime is 221210011001101. The reversal of 221210011001100 is 1100110012122.

It is a Harshad number since it is a multiple of its sum of digits (12).

221210011001100 is a modest number, since divided by 11001100 gives 2212100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (221210011001101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180198582 + ... + 181422018.

It is an arithmetic number, because the mean of its divisors is an integer number (1730172561782).

Almost surely, 2^{221210011001100} is an apocalyptic number.

221210011001100 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 221210011001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373717273344912).

221210011001100 is an abundant number, since it is smaller than the sum of its proper divisors (526224535688724).

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

221210011001100 is a wasteful number, since it uses less digits than its factorization.

221210011001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223786 (or 1223768 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221210011001100 its reverse (1100110012122), we get a palindrome (222310121013222).

The spelling of 221210011001100 in words is "two hundred twenty-one trillion, two hundred ten billion, eleven million, one thousand, one hundred".