100212221001 has 32 divisors (see below), whose sum is σ = 140380231680. Its totient is φ = 63467465600.

The previous prime is 100212220987. The next prime is 100212221003. The reversal of 100212221001 is 100122212001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100212221001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212221003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6021670 + ... + 6038288.

It is an arithmetic number, because the mean of its divisors is an integer number (4386882240).

Almost surely, 2^100212221001 is an apocalyptic number.

It is an amenable number.

100212221001 is a deficient number, since it is larger than the sum of its proper divisors (40168010679).

100212221001 is a wasteful number, since it uses less digits than its factorization.

100212221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17237.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100212221001 its reverse (100122212001), we get a palindrome (200334433002).

The spelling of 100212221001 in words is "one hundred billion, two hundred twelve million, two hundred twenty-one thousand, one".