221132102100 has 576 divisors, whose sum is σ = 836738112000. Its totient is φ = 43824291840.

The previous prime is 221132102017. The next prime is 221132102111. The reversal of 221132102100 is 1201231122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221132102100.

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 191 ways as a sum of consecutive naturals, for example, 29289126 + ... + 29296674.

Almost surely, 2^221132102100 is an apocalyptic number.

221132102100 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 221132102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418369056000).

221132102100 is an abundant number, since it is smaller than the sum of its proper divisors (615606009900).

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

221132102100 is a wasteful number, since it uses less digits than its factorization.

221132102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7652 (or 7645 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221132102100 its reverse (1201231122), we get a palindrome (222333333222).

The spelling of 221132102100 in words is "two hundred twenty-one billion, one hundred thirty-two million, one hundred two thousand, one hundred".