100212000221 has 8 divisors (see below), whose sum is σ = 102159582264. Its totient is φ = 98266521600.

The previous prime is 100212000179. The next prime is 100212000331. The reversal of 100212000221 is 122000212001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 302272996 + 99909727225 = 17386^2 + 316085^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100212000221 - 2⁶ = 100212000157 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212000521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429476 + ... + 620381.

It is an arithmetic number, because the mean of its divisors is an integer number (12769947783).

Almost surely, 2^100212000221 is an apocalyptic number.

It is an amenable number.

100212000221 is a deficient number, since it is larger than the sum of its proper divisors (1947582043).

100212000221 is a wasteful number, since it uses less digits than its factorization.

100212000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051711.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100212000221 its reverse (122000212001), we get a palindrome (222212212222).

The spelling of 100212000221 in words is "one hundred billion, two hundred twelve million, two hundred twenty-one", and thus it is an aban number.