100221223213 has 2 divisors, whose sum is σ = 100221223214. Its totient is φ = 100221223212.

The previous prime is 100221223189. The next prime is 100221223231. The reversal of 100221223213 is 312322122001.

Together with next prime (100221223231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91066943529 + 9154279684 = 301773^2 + 95678^2 .

It is an emirp because it is prime and its reverse (312322122001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100221223213 - 2¹³ = 100221215021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221223273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110611606 + 50110611607.

It is an arithmetic number, because the mean of its divisors is an integer number (50110611607).

Almost surely, 2^100221223213 is an apocalyptic number.

It is an amenable number.

100221223213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221223213 is an equidigital number, since it uses as much as digits as its factorization.

100221223213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100221223213 its reverse (312322122001), we get a palindrome (412543345214).

It can be divided in two parts, 10022 and 1223213, that added together give a triangular number (1233235 = T₁₅₇₀).

The spelling of 100221223213 in words is "one hundred billion, two hundred twenty-one million, two hundred twenty-three thousand, two hundred thirteen".