100322201213 has 8 divisors (see below), whose sum is σ = 110077771608. Its totient is φ = 90857841984.

The previous prime is 100322201197. The next prime is 100322201227. The reversal of 100322201213 is 312102223001.

It can be written as a sum of positive squares in 4 ways, for example, as 41007060004 + 59315141209 = 202502^2 + 243547^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100322201213 - 2⁴ = 100322201197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100322201191 and 100322201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100322201233) 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, 72802070 + ... + 72803447.

It is an arithmetic number, because the mean of its divisors is an integer number (13759721451).

Almost surely, 2^100322201213 is an apocalyptic number.

100322201213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100322201213 is a deficient number, since it is larger than the sum of its proper divisors (9755570395).

100322201213 is a wasteful number, since it uses less digits than its factorization.

100322201213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145605583.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100322201213 its reverse (312102223001), we get a palindrome (412424424214).

The spelling of 100322201213 in words is "one hundred billion, three hundred twenty-two million, two hundred one thousand, two hundred thirteen".