221202120212100 has 108 divisors (see below), whose sum is σ = 700210566559140. Its totient is φ = 58403200032000.

The previous prime is 221202120212071. The next prime is 221202120212219. The reversal of 221202120212100 is 1212021202122.

It is a happy number.

221202120212100 is a `hidden beast` number, since 22 + 120 + 212 + 0 + 212 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3555064998144 + 217647055213956 = 1885488^2 + 14752866^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 1216642435 + ... + 1216824234.

Almost surely, 2^{221202120212100} is an apocalyptic number.

221202120212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202120212100 is an abundant number, since it is smaller than the sum of its proper divisors (479008446347040).

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

221202120212100 is a wasteful number, since it uses less digits than its factorization.

221202120212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433466790 (or 2433466780 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221202120212100 its reverse (1212021202122), we get a palindrome (222414141414222).

The spelling of 221202120212100 in words is "two hundred twenty-one trillion, two hundred two billion, one hundred twenty million, two hundred twelve thousand, one hundred".