101112218093 has 2 divisors, whose sum is σ = 101112218094. Its totient is φ = 101112218092.

The previous prime is 101112218069. The next prime is 101112218099. The reversal of 101112218093 is 390812211101.

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., 69233186884 + 31879031209 = 263122^2 + 178547^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112218093 - 2²⁰ = 101111169517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112218099) 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, 50556109046 + 50556109047.

It is an arithmetic number, because the mean of its divisors is an integer number (50556109047).

Almost surely, 2^101112218093 is an apocalyptic number.

It is an amenable number.

101112218093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112218093 is an equidigital number, since it uses as much as digits as its factorization.

101112218093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 29.

Adding to 101112218093 its reverse (390812211101), we get a palindrome (491924429194).

The spelling of 101112218093 in words is "one hundred one billion, one hundred twelve million, two hundred eighteen thousand, ninety-three".