101223183633193 has 2 divisors, whose sum is σ = 101223183633194. Its totient is φ = 101223183633192.

The previous prime is 101223183633107. The next prime is 101223183633211. The reversal of 101223183633193 is 391336381322101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84353993220249 + 16869190412944 = 9184443^2 + 4107212^2 .

It is a cyclic number.

It is not a de Polignac number, because 101223183633193 - 2¹³ = 101223183625001 is a prime.

It is a super-2 number, since 2×101223183633193² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101223183333193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611591816596 + 50611591816597.

It is an arithmetic number, because the mean of its divisors is an integer number (50611591816597).

Almost surely, 2^{101223183633193} is an apocalyptic number.

It is an amenable number.

101223183633193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101223183633193 is an equidigital number, since it uses as much as digits as its factorization.

101223183633193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 101223183633193 in words is "one hundred one trillion, two hundred twenty-three billion, one hundred eighty-three million, six hundred thirty-three thousand, one hundred ninety-three".