7481992104101 has 2 divisors, whose sum is σ = 7481992104102. Its totient is φ = 7481992104100.

The previous prime is 7481992104001. The next prime is 7481992104113. The reversal of 7481992104101 is 1014012991847.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6225653755876 + 1256338348225 = 2495126^2 + 1120865^2 .

It is an emirp because it is prime and its reverse (1014012991847) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7481992104101 - 2⁴² = 3083945592997 is a prime.

It is a super-3 number, since 3×7481992104101³ (a number of 40 digits) contains 333 as substring.

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 (7481992104001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3740996052050 + 3740996052051.

It is an arithmetic number, because the mean of its divisors is an integer number (3740996052051).

Almost surely, 2^{7481992104101} is an apocalyptic number.

It is an amenable number.

7481992104101 is a deficient number, since it is larger than the sum of its proper divisors (1).

7481992104101 is an equidigital number, since it uses as much as digits as its factorization.

7481992104101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 47.

The spelling of 7481992104101 in words is "seven trillion, four hundred eighty-one billion, nine hundred ninety-two million, one hundred four thousand, one hundred one".