100213442003321 has 8 divisors (see below), whose sum is σ = 103669497102600. Its totient is φ = 96757414848640.

The previous prime is 100213442003317. The next prime is 100213442003401. The reversal of 100213442003321 is 123300244312001.

It can be written as a sum of positive squares in 4 ways, for example, as 1763488385296 + 98449953618025 = 1327964^2 + 9922195^2 .

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 100213442003321 - 2² = 100213442003317 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100213442003021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443765 + ... + 14164173.

It is an arithmetic number, because the mean of its divisors is an integer number (12958687137825).

Almost surely, 2^{100213442003321} is an apocalyptic number.

It is an amenable number.

100213442003321 is a deficient number, since it is larger than the sum of its proper divisors (3456055099279).

100213442003321 is a wasteful number, since it uses less digits than its factorization.

100213442003321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13972299.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 100213442003321 its reverse (123300244312001), we get a palindrome (223513686315322).

The spelling of 100213442003321 in words is "one hundred trillion, two hundred thirteen billion, four hundred forty-two million, three thousand, three hundred twenty-one".