101110000010693 has 2 divisors, whose sum is σ = 101110000010694. Its totient is φ = 101110000010692.

The previous prime is 101110000010683. The next prime is 101110000010711. The reversal of 101110000010693 is 396010000011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100192452505924 + 917547504769 = 10009618^2 + 957887^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110000010693 - 2²⁶ = 101109932901829 is a prime.

It is a super-2 number, since 2×101110000010693² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110000010603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555000005346 + 50555000005347.

It is an arithmetic number, because the mean of its divisors is an integer number (50555000005347).

Almost surely, 2^{101110000010693} is an apocalyptic number.

It is an amenable number.

101110000010693 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110000010693 is an equidigital number, since it uses as much as digits as its factorization.

101110000010693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 23.

Adding to 101110000010693 its reverse (396010000011101), we get a palindrome (497120000021794).

The spelling of 101110000010693 in words is "one hundred one trillion, one hundred ten billion, ten thousand, six hundred ninety-three".