101116612393 has 2 divisors, whose sum is σ = 101116612394. Its totient is φ = 101116612392.

The previous prime is 101116612313. The next prime is 101116612403. The reversal of 101116612393 is 393216611101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101055959449 + 60652944 = 317893^2 + 7788^2 .

It is a cyclic number.

It is not a de Polignac number, because 101116612393 - 2²¹ = 101114515241 is a prime.

It is a super-3 number, since 3×101116612393³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101116612313) 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, 50558306196 + 50558306197.

It is an arithmetic number, because the mean of its divisors is an integer number (50558306197).

Almost surely, 2^101116612393 is an apocalyptic number.

It is an amenable number.

101116612393 is a deficient number, since it is larger than the sum of its proper divisors (1).

101116612393 is an equidigital number, since it uses as much as digits as its factorization.

101116612393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 101116612393 in words is "one hundred one billion, one hundred sixteen million, six hundred twelve thousand, three hundred ninety-three".