100212222001 has 8 divisors (see below), whose sum is σ = 101198019240. Its totient is φ = 99230110848.

The previous prime is 100212221897. The next prime is 100212222031. The reversal of 100212222001 is 100222212001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16236875776 + 83975346225 = 127424^2 + 289785^2 .

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 100212222001 - 2¹³ = 100212213809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212222031) 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 7 ways as a sum of consecutive naturals, for example, 866866 + ... + 975643.

It is an arithmetic number, because the mean of its divisors is an integer number (12649752405).

Almost surely, 2^100212222001 is an apocalyptic number.

It is an amenable number.

100212222001 is a deficient number, since it is larger than the sum of its proper divisors (985797239).

100212222001 is a wasteful number, since it uses less digits than its factorization.

100212222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843043.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100212222001 its reverse (100222212001), we get a palindrome (200434434002).

The spelling of 100212222001 in words is "one hundred billion, two hundred twelve million, two hundred twenty-two thousand, one".