221212002202100 has 144 divisors (see below), whose sum is σ = 590832730285056. Its totient is φ = 70006809600000.

The previous prime is 221212002202091. The next prime is 221212002202151. The reversal of 221212002202100 is 1202200212122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206499860 + ... + 207568340.

It is an arithmetic number, because the mean of its divisors is an integer number (4103005071424).

Almost surely, 2^{221212002202100} is an apocalyptic number.

221212002202100 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 221212002202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295416365142528).

221212002202100 is an abundant number, since it is smaller than the sum of its proper divisors (369620728082956).

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

221212002202100 is a wasteful number, since it uses less digits than its factorization.

221212002202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091266 (or 1091259 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221212002202100 its reverse (1202200212122), we get a palindrome (222414202414222).

The spelling of 221212002202100 in words is "two hundred twenty-one trillion, two hundred twelve billion, two million, two hundred two thousand, one hundred".