221010010010100 has 180 divisors, whose sum is σ = 726241212208204. Its totient is φ = 58128660011520.

The previous prime is 221010010010051. The next prime is 221010010010129. The reversal of 221010010010100 is 1010010010122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1156855127184 + 219853154882916 = 1075572^2 + 14827446^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 186293539 + ... + 187476138.

Almost surely, 2^{221010010010100} is an apocalyptic number.

221010010010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010010010100 is an abundant number, since it is smaller than the sum of its proper divisors (505231202198104).

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

221010010010100 is a wasteful number, since it uses less digits than its factorization.

221010010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373769776 (or 373769760 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 221010010010100 its reverse (1010010010122), we get a palindrome (222020020020222).

The spelling of 221010010010100 in words is "two hundred twenty-one trillion, ten billion, ten million, ten thousand, one hundred".