100961761393 has 2 divisors, whose sum is σ = 100961761394. Its totient is φ = 100961761392.

The previous prime is 100961761391. The next prime is 100961761429. The reversal of 100961761393 is 393167169001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71603337744 + 29358423649 = 267588^2 + 171343^2 .

It is a cyclic number.

It is not a de Polignac number, because 100961761393 - 2¹ = 100961761391 is a prime.

It is a super-3 number, since 3×100961761393³ (a number of 34 digits) contains 333 as substring.

Together with 100961761391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100961761391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50480880696 + 50480880697.

It is an arithmetic number, because the mean of its divisors is an integer number (50480880697).

Almost surely, 2^100961761393 is an apocalyptic number.

It is an amenable number.

100961761393 is a deficient number, since it is larger than the sum of its proper divisors (1).

100961761393 is an equidigital number, since it uses as much as digits as its factorization.

100961761393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 183708, while the sum is 46.

The spelling of 100961761393 in words is "one hundred billion, nine hundred sixty-one million, seven hundred sixty-one thousand, three hundred ninety-three".