100221021013 has 4 divisors (see below), whose sum is σ = 100231153228. Its totient is φ = 100210888800.

The previous prime is 100221021011. The next prime is 100221021059. The reversal of 100221021013 is 310120122001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 44467422129 + 55753598884 = 210873^2 + 236122^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221021013 - 2¹ = 100221021011 is a prime.

It is a super-3 number, since 3×100221021013³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221020984 and 100221021002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221021011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5051256 + ... + 5071057.

It is an arithmetic number, because the mean of its divisors is an integer number (25057788307).

Almost surely, 2^100221021013 is an apocalyptic number.

It is an amenable number.

100221021013 is a deficient number, since it is larger than the sum of its proper divisors (10132215).

100221021013 is an equidigital number, since it uses as much as digits as its factorization.

100221021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132214.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100221021013 its reverse (310120122001), we get a palindrome (410341143014).

The spelling of 100221021013 in words is "one hundred billion, two hundred twenty-one million, twenty-one thousand, thirteen".