101023222133 has 2 divisors, whose sum is σ = 101023222134. Its totient is φ = 101023222132.

The previous prime is 101023222117. The next prime is 101023222151. The reversal of 101023222133 is 331222320101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75965281924 + 25057940209 = 275618^2 + 158297^2 .

It is a cyclic number.

It is not a de Polignac number, because 101023222133 - 2⁴ = 101023222117 is a prime.

It is a super-2 number, since 2×101023222133² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101023222103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511611066 + 50511611067.

It is an arithmetic number, because the mean of its divisors is an integer number (50511611067).

Almost surely, 2^101023222133 is an apocalyptic number.

It is an amenable number.

101023222133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101023222133 is an equidigital number, since it uses as much as digits as its factorization.

101023222133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 101023222133 its reverse (331222320101), we get a palindrome (432245542234).

The spelling of 101023222133 in words is "one hundred one billion, twenty-three million, two hundred twenty-two thousand, one hundred thirty-three".