221012310100 has 36 divisors (see below), whose sum is σ = 479680367068. Its totient is φ = 88389504000.

The previous prime is 221012310083. The next prime is 221012310139. The reversal of 221012310100 is 1013210122.

221012310100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 39183410704 + 181828899396 = 197948^2 + 426414^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392260 + ... + 771940.

Almost surely, 2^221012310100 is an apocalyptic number.

221012310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221012310100 is an abundant number, since it is smaller than the sum of its proper divisors (258668056968).

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

221012310100 is a wasteful number, since it uses less digits than its factorization.

221012310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385516 (or 385509 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 221012310100 its reverse (1013210122), we get a palindrome (222025520222).

The spelling of 221012310100 in words is "two hundred twenty-one billion, twelve million, three hundred ten thousand, one hundred".