100211223213 has 24 divisors (see below), whose sum is σ = 145359778200. Its totient is φ = 66526130304.

The previous prime is 100211223163. The next prime is 100211223223. The reversal of 100211223213 is 312322112001.

It can be written as a sum of positive squares in 4 ways, for example, as 34274227689 + 65936995524 = 185133^2 + 256782^2 .

It is not a de Polignac number, because 100211223213 - 2¹⁸ = 100210961069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211223223) 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, 4448743 + ... + 4471211.

It is an arithmetic number, because the mean of its divisors is an integer number (6056657425).

Almost surely, 2^100211223213 is an apocalyptic number.

It is an amenable number.

100211223213 is a deficient number, since it is larger than the sum of its proper divisors (45148554987).

100211223213 is a wasteful number, since it uses less digits than its factorization.

100211223213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24541 (or 24538 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100211223213 its reverse (312322112001), we get a palindrome (412533335214).

The spelling of 100211223213 in words is "one hundred billion, two hundred eleven million, two hundred twenty-three thousand, two hundred thirteen".