100121434213 has 2 divisors, whose sum is σ = 100121434214. Its totient is φ = 100121434212.

The previous prime is 100121434129. The next prime is 100121434243. The reversal of 100121434213 is 312434121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98569625764 + 1551808449 = 313958^2 + 39393^2 .

It is an emirp because it is prime and its reverse (312434121001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100121434213 - 2¹³ = 100121426021 is a prime.

It is a super-3 number, since 3×100121434213³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121434243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060717106 + 50060717107.

It is an arithmetic number, because the mean of its divisors is an integer number (50060717107).

Almost surely, 2^100121434213 is an apocalyptic number.

It is an amenable number.

100121434213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121434213 is an equidigital number, since it uses as much as digits as its factorization.

100121434213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 100121434213 its reverse (312434121001), we get a palindrome (412555555214).

The spelling of 100121434213 in words is "one hundred billion, one hundred twenty-one million, four hundred thirty-four thousand, two hundred thirteen".