101805679620233 has 2 divisors, whose sum is σ = 101805679620234. Its totient is φ = 101805679620232.

The previous prime is 101805679620223. The next prime is 101805679620241. The reversal of 101805679620233 is 332026976508101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68206406486089 + 33599273134144 = 8258717^2 + 5796488^2 .

It is a cyclic number.

It is not a de Polignac number, because 101805679620233 - 2¹⁰ = 101805679619209 is a prime.

It is a super-2 number, since 2×101805679620233² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101805679620223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50902839810116 + 50902839810117.

It is an arithmetic number, because the mean of its divisors is an integer number (50902839810117).

Almost surely, 2^{101805679620233} is an apocalyptic number.

It is an amenable number.

101805679620233 is a deficient number, since it is larger than the sum of its proper divisors (1).

101805679620233 is an equidigital number, since it uses as much as digits as its factorization.

101805679620233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 101805679620233 in words is "one hundred one trillion, eight hundred five billion, six hundred seventy-nine million, six hundred twenty thousand, two hundred thirty-three".