221012341232100 has 1152 divisors, whose sum is σ = 779064836659200. Its totient is φ = 47757588480000.

The previous prime is 221012341232083. The next prime is 221012341232101. The reversal of 221012341232100 is 1232143210122.

It is not an unprimeable number, because it can be changed into a prime (221012341232101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 122038840195 + ... + 122038842005.

It is an arithmetic number, because the mean of its divisors is an integer number (676271559600).

Almost surely, 2^{221012341232100} is an apocalyptic number.

221012341232100 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 221012341232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389532418329600).

221012341232100 is an abundant number, since it is smaller than the sum of its proper divisors (558052495427100).

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

221012341232100 is a wasteful number, since it uses less digits than its factorization.

221012341232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221012341232100 its reverse (1232143210122), we get a palindrome (222244484442222).

The spelling of 221012341232100 in words is "two hundred twenty-one trillion, twelve billion, three hundred forty-one million, two hundred thirty-two thousand, one hundred".