100121993742593 has 2 divisors, whose sum is σ = 100121993742594. Its totient is φ = 100121993742592.

The previous prime is 100121993742581. The next prime is 100121993742601. The reversal of 100121993742593 is 395247399121001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97463946098689 + 2658047643904 = 9872383^2 + 1630352^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121993742593 - 2¹⁸ = 100121993480449 is a prime.

It is not a weakly prime, because it can be changed into another prime (100121990742593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060996871296 + 50060996871297.

It is an arithmetic number, because the mean of its divisors is an integer number (50060996871297).

Almost surely, 2^{100121993742593} is an apocalyptic number.

It is an amenable number.

100121993742593 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121993742593 is an equidigital number, since it uses as much as digits as its factorization.

100121993742593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3674160, while the sum is 56.

The spelling of 100121993742593 in words is "one hundred trillion, one hundred twenty-one billion, nine hundred ninety-three million, seven hundred forty-two thousand, five hundred ninety-three".