101110110010093 has 2 divisors, whose sum is σ = 101110110010094. Its totient is φ = 101110110010092.

The previous prime is 101110110010079. The next prime is 101110110010121. The reversal of 101110110010093 is 390010011011101.

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., 100873639826569 + 236470183524 = 10043587^2 + 486282^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110110010093 - 2²⁹ = 101109573139181 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101110110010093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110110010043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555055005046 + 50555055005047.

It is an arithmetic number, because the mean of its divisors is an integer number (50555055005047).

Almost surely, 2^{101110110010093} is an apocalyptic number.

It is an amenable number.

101110110010093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110110010093 is an equidigital number, since it uses as much as digits as its factorization.

101110110010093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 19.

Adding to 101110110010093 its reverse (390010011011101), we get a palindrome (491120121021194).

The spelling of 101110110010093 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, ten thousand, ninety-three".