221222010210100 has 18 divisors (see below), whose sum is σ = 480051762156134. Its totient is φ = 88488804084000.

The previous prime is 221222010210067. The next prime is 221222010210121. The reversal of 221222010210100 is 1012010222122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 47959863193636 + 173262147016464 = 6925306^2 + 13162908^2 .

It is a super-2 number, since 2×221222010210100² (a number of 29 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 1106110050951 + ... + 1106110051150.

Almost surely, 2^{221222010210100} is an apocalyptic number.

221222010210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222010210100 is an abundant number, since it is smaller than the sum of its proper divisors (258829751946034).

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

221222010210100 is a wasteful number, since it uses less digits than its factorization.

221222010210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212220102115 (or 2212220102108 counting only the distinct ones).

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

Adding to 221222010210100 its reverse (1012010222122), we get a palindrome (222234020432222).

The spelling of 221222010210100 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, ten million, two hundred ten thousand, one hundred".