100123226092913 has 2 divisors, whose sum is σ = 100123226092914. Its totient is φ = 100123226092912.

The previous prime is 100123226092891. The next prime is 100123226092969. The reversal of 100123226092913 is 319290622321001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71375259798544 + 28747966294369 = 8448388^2 + 5361713^2 .

It is a cyclic number.

It is not a de Polignac number, because 100123226092913 - 2³⁶ = 100054506616177 is a prime.

It is not a weakly prime, because it can be changed into another prime (100123226092313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061613046456 + 50061613046457.

It is an arithmetic number, because the mean of its divisors is an integer number (50061613046457).

Almost surely, 2^{100123226092913} is an apocalyptic number.

It is an amenable number.

100123226092913 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123226092913 is an equidigital number, since it uses as much as digits as its factorization.

100123226092913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 100123226092913 in words is "one hundred trillion, one hundred twenty-three billion, two hundred twenty-six million, ninety-two thousand, nine hundred thirteen".