100121434013 has 2 divisors, whose sum is σ = 100121434014. Its totient is φ = 100121434012.

The previous prime is 100121434009. The next prime is 100121434069. The reversal of 100121434013 is 310434121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56768780644 + 43352653369 = 238262^2 + 208213^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121434013 - 2² = 100121434009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121434003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060717006 + 50060717007.

It is an arithmetic number, because the mean of its divisors is an integer number (50060717007).

Almost surely, 2^100121434013 is an apocalyptic number.

It is an amenable number.

100121434013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121434013 is an equidigital number, since it uses as much as digits as its factorization.

100121434013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100121434013 its reverse (310434121001), we get a palindrome (410555555014).

The spelling of 100121434013 in words is "one hundred billion, one hundred twenty-one million, four hundred thirty-four thousand, thirteen".