221221212000100 has 36 divisors (see below), whose sum is σ = 516976955430964. Its totient is φ = 81681678276480.

The previous prime is 221221212000071. The next prime is 221221212000119. The reversal of 221221212000100 is 1000212122122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 52201087401024 + 169020124599076 = 7225032^2 + 13000774^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85085080239 + ... + 85085082838.

Almost surely, 2^{221221212000100} is an apocalyptic number.

221221212000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221212000100 is an abundant number, since it is smaller than the sum of its proper divisors (295755743430864).

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

221221212000100 is a wasteful number, since it uses less digits than its factorization.

221221212000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170170163104 (or 170170163097 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221221212000100 its reverse (1000212122122), we get a palindrome (222221424122222).

The spelling of 221221212000100 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, two hundred twelve million, one hundred", and thus it is an aban number.