221313021222100 has 36 divisors (see below), whose sum is σ = 484499249493084. Its totient is φ = 87741799559680.

The previous prime is 221313021222077. The next prime is 221313021222101. The reversal of 221313021222100 is 1222120313122.

It can be written as a sum of positive squares in 6 ways, for example, as 2335413578436 + 218977607643664 = 1528206^2 + 14797892^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221313021222101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9792600259 + ... + 9792622858.

It is an arithmetic number, because the mean of its divisors is an integer number (13458312485919).

Almost surely, 2^{221313021222100} is an apocalyptic number.

221313021222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221313021222100 is an abundant number, since it is smaller than the sum of its proper divisors (263186228270984).

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

221313021222100 is a wasteful number, since it uses less digits than its factorization.

221313021222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19585223244 (or 19585223237 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 221313021222100 its reverse (1222120313122), we get a palindrome (222535141535222).

The spelling of 221313021222100 in words is "two hundred twenty-one trillion, three hundred thirteen billion, twenty-one million, two hundred twenty-two thousand, one hundred".