221021101102100 has 288 divisors, whose sum is σ = 547728287333472. Its totient is φ = 76690022400000.

The previous prime is 221021101102097. The next prime is 221021101102127. The reversal of 221021101102100 is 1201101120122.

It can be written as a sum of positive squares in 48 ways, for example, as 202007890850704 + 19013210251396 = 14212948^2 + 4360414^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54966698090 + ... + 54966702110.

It is an arithmetic number, because the mean of its divisors is an integer number (1901834331019).

Almost surely, 2^{221021101102100} is an apocalyptic number.

221021101102100 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 221021101102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273864143666736).

221021101102100 is an abundant number, since it is smaller than the sum of its proper divisors (326707186231372).

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

221021101102100 is a wasteful number, since it uses less digits than its factorization.

221021101102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247 (or 7240 counting only the distinct ones).

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

Adding to 221021101102100 its reverse (1201101120122), we get a palindrome (222222202222222).

The spelling of 221021101102100 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred one million, one hundred two thousand, one hundred".