101011122122093 has 2 divisors, whose sum is σ = 101011122122094. Its totient is φ = 101011122122092.

The previous prime is 101011122122083. The next prime is 101011122122221. The reversal of 101011122122093 is 390221221110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89222041930564 + 11789080191529 = 9445742^2 + 3433523^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011122122093 - 2¹⁰ = 101011122121069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011122122083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505561061046 + 50505561061047.

It is an arithmetic number, because the mean of its divisors is an integer number (50505561061047).

Almost surely, 2^{101011122122093} is an apocalyptic number.

It is an amenable number.

101011122122093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011122122093 is an equidigital number, since it uses as much as digits as its factorization.

101011122122093 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 26.

Adding to 101011122122093 its reverse (390221221110101), we get a palindrome (491232343232194).

The spelling of 101011122122093 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, ninety-three".