221002211210100 has 72 divisors (see below), whose sum is σ = 651497839282080. Its totient is φ = 57821962174080.

The previous prime is 221002211210071. The next prime is 221002211210197. The reversal of 221002211210100 is 1012112200122.

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 221002211210100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6949739170 + ... + 6949770969.

It is an arithmetic number, because the mean of its divisors is an integer number (9048581101140).

Almost surely, 2^{221002211210100} is an apocalyptic number.

221002211210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002211210100 is an abundant number, since it is smaller than the sum of its proper divisors (430495628071980).

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

221002211210100 is a wasteful number, since it uses less digits than its factorization.

221002211210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13899510209 (or 13899510202 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221002211210100 its reverse (1012112200122), we get a palindrome (222014323410222).

The spelling of 221002211210100 in words is "two hundred twenty-one trillion, two billion, two hundred eleven million, two hundred ten thousand, one hundred".