100201121213 has 2 divisors, whose sum is σ = 100201121214. Its totient is φ = 100201121212.

The previous prime is 100201121179. The next prime is 100201121231. The reversal of 100201121213 is 312121102001.

Together with next prime (100201121231) 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., 56825977924 + 43375143289 = 238382^2 + 208267^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201121213 - 2²⁴ = 100184343997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201129213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100560606 + 50100560607.

It is an arithmetic number, because the mean of its divisors is an integer number (50100560607).

Almost surely, 2^100201121213 is an apocalyptic number.

It is an amenable number.

100201121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201121213 is an equidigital number, since it uses as much as digits as its factorization.

100201121213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100201121213 its reverse (312121102001), we get a palindrome (412322223214).

The spelling of 100201121213 in words is "one hundred billion, two hundred one million, one hundred twenty-one thousand, two hundred thirteen".