100212103302321 has 16 divisors (see below), whose sum is σ = 135668189406464. Its totient is φ = 65782892753424.

The previous prime is 100212103302293. The next prime is 100212103302349. The reversal of 100212103302321 is 123203301212001.

It is an interprime number because it is at equal distance from previous prime (100212103302293) and next prime (100212103302349).

It is not a de Polignac number, because 100212103302321 - 2²⁶ = 100212036193457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212103322321) 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 15 ways as a sum of consecutive naturals, for example, 105742075 + ... + 106685568.

It is an arithmetic number, because the mean of its divisors is an integer number (8479261837904).

Almost surely, 2^{100212103302321} is an apocalyptic number.

It is an amenable number.

100212103302321 is a deficient number, since it is larger than the sum of its proper divisors (35456086104143).

100212103302321 is a wasteful number, since it uses less digits than its factorization.

100212103302321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212430060.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100212103302321 its reverse (123203301212001), we get a palindrome (223415404514322).

The spelling of 100212103302321 in words is "one hundred trillion, two hundred twelve billion, one hundred three million, three hundred two thousand, three hundred twenty-one".