100212322221 has 24 divisors (see below), whose sum is σ = 161761803840. Its totient is φ = 59253403200.

The previous prime is 100212322219. The next prime is 100212322237. The reversal of 100212322221 is 122223212001.

100212322221 is a `hidden beast` number, since 100 + 21 + 2 + 322 + 221 = 666.

It is not a de Polignac number, because 100212322221 - 2¹ = 100212322219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212322194 and 100212322203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212322241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12340401 + ... + 12348518.

It is an arithmetic number, because the mean of its divisors is an integer number (6740075160).

Almost surely, 2^100212322221 is an apocalyptic number.

100212322221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212322221 is a deficient number, since it is larger than the sum of its proper divisors (61549481619).

100212322221 is a wasteful number, since it uses less digits than its factorization.

100212322221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24688977 (or 24688974 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100212322221 its reverse (122223212001), we get a palindrome (222435534222).

The spelling of 100212322221 in words is "one hundred billion, two hundred twelve million, three hundred twenty-two thousand, two hundred twenty-one".