101793837601 has 2 divisors, whose sum is σ = 101793837602. Its totient is φ = 101793837600.

The previous prime is 101793837589. The next prime is 101793837623. The reversal of 101793837601 is 106738397101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86215053376 + 15578784225 = 293624^2 + 124815^2 .

It is a cyclic number.

It is not a de Polignac number, because 101793837601 - 2⁷ = 101793837473 is a prime.

It is a super-2 number, since 2×101793837601² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101793837631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50896918800 + 50896918801.

It is an arithmetic number, because the mean of its divisors is an integer number (50896918801).

Almost surely, 2^101793837601 is an apocalyptic number.

It is an amenable number.

101793837601 is a deficient number, since it is larger than the sum of its proper divisors (1).

101793837601 is an equidigital number, since it uses as much as digits as its factorization.

101793837601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 190512, while the sum is 46.

The spelling of 101793837601 in words is "one hundred one billion, seven hundred ninety-three million, eight hundred thirty-seven thousand, six hundred one".