100012662321 has 48 divisors (see below), whose sum is σ = 157827770688. Its totient is φ = 55538265600.

The previous prime is 100012662319. The next prime is 100012662341. The reversal of 100012662321 is 123266210001.

It is not a de Polignac number, because 100012662321 - 2¹ = 100012662319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100012662291 and 100012662300.

It is not an unprimeable number, because it can be changed into a prime (100012662341) 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 47 ways as a sum of consecutive naturals, for example, 8045691 + ... + 8058111.

It is an arithmetic number, because the mean of its divisors is an integer number (3288078556).

Almost surely, 2^100012662321 is an apocalyptic number.

100012662321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012662321 is a deficient number, since it is larger than the sum of its proper divisors (57815108367).

100012662321 is a wasteful number, since it uses less digits than its factorization.

100012662321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12722 (or 12585 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100012662321 its reverse (123266210001), we get a palindrome (223278872322).

The spelling of 100012662321 in words is "one hundred billion, twelve million, six hundred sixty-two thousand, three hundred twenty-one".