100022222111213 has 24 divisors (see below), whose sum is σ = 107395936158888. Its totient is φ = 92832204644352.

The previous prime is 100022222111183. The next prime is 100022222111293. The reversal of 100022222111213 is 312111222220001.

It can be written as a sum of positive squares in 12 ways, for example, as 7205241010564 + 92816981100649 = 2684258^2 + 9634157^2 .

It is not a de Polignac number, because 100022222111213 - 2²⁰ = 100022221062637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022222111293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515648981 + ... + 515842917.

It is an arithmetic number, because the mean of its divisors is an integer number (4474830673287).

Almost surely, 2^{100022222111213} is an apocalyptic number.

It is an amenable number.

100022222111213 is a deficient number, since it is larger than the sum of its proper divisors (7373714047675).

100022222111213 is an equidigital number, since it uses as much as digits as its factorization.

100022222111213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199793 (or 199720 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 100022222111213 its reverse (312111222220001), we get a palindrome (412133444331214).

The spelling of 100022222111213 in words is "one hundred trillion, twenty-two billion, two hundred twenty-two million, one hundred eleven thousand, two hundred thirteen".