101022122093 has 2 divisors, whose sum is σ = 101022122094. Its totient is φ = 101022122092.

The previous prime is 101022122009. The next prime is 101022122101. The reversal of 101022122093 is 390221220101.

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., 92715987049 + 8306135044 = 304493^2 + 91138^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101022122093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022152093) 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, 50511061046 + 50511061047.

It is an arithmetic number, because the mean of its divisors is an integer number (50511061047).

Almost surely, 2^101022122093 is an apocalyptic number.

It is an amenable number.

101022122093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022122093 is an equidigital number, since it uses as much as digits as its factorization.

101022122093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101022122093 its reverse (390221220101), we get a palindrome (491243342194).

The spelling of 101022122093 in words is "one hundred one billion, twenty-two million, one hundred twenty-two thousand, ninety-three".