100021211321 has 4 divisors (see below), whose sum is σ = 100021959552. Its totient is φ = 100020463092.

The previous prime is 100021211287. The next prime is 100021211387. The reversal of 100021211321 is 123112120001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 100021211321 - 2³⁴ = 82841342137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100021211296 and 100021211305.

It is not an unprimeable number, because it can be changed into a prime (100021211221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112721 + ... + 461246.

It is an arithmetic number, because the mean of its divisors is an integer number (25005489888).

Almost surely, 2^100021211321 is an apocalyptic number.

It is an amenable number.

100021211321 is a deficient number, since it is larger than the sum of its proper divisors (748231).

100021211321 is an equidigital number, since it uses as much as digits as its factorization.

100021211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748230.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100021211321 its reverse (123112120001), we get a palindrome (223133331322).

The spelling of 100021211321 in words is "one hundred billion, twenty-one million, two hundred eleven thousand, three hundred twenty-one".