101100100093 has 2 divisors, whose sum is σ = 101100100094. Its totient is φ = 101100100092.

The previous prime is 101100100091. The next prime is 101100100133. The reversal of 101100100093 is 390001001101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53576972089 + 47523128004 = 231467^2 + 217998^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100100093 - 2¹ = 101100100091 is a prime.

Together with 101100100091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550050046 + 50550050047.

It is an arithmetic number, because the mean of its divisors is an integer number (50550050047).

Almost surely, 2^101100100093 is an apocalyptic number.

It is an amenable number.

101100100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100100093 is an equidigital number, since it uses as much as digits as its factorization.

101100100093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 101100100093 its reverse (390001001101), we get a palindrome (491101101194).

The spelling of 101100100093 in words is "one hundred one billion, one hundred million, one hundred thousand, ninety-three".