100100100110693 has 2 divisors, whose sum is σ = 100100100110694. Its totient is φ = 100100100110692.

The previous prime is 100100100110683. The next prime is 100100100110819. The reversal of 100100100110693 is 396011001001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98465095469764 + 1635004640929 = 9922958^2 + 1278673^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100100110693 is a prime.

It is a super-4 number, since 4×100100100110693⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100100110623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050055346 + 50050050055347.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050055347).

Almost surely, 2^{100100100110693} is an apocalyptic number.

It is an amenable number.

100100100110693 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100110693 is an equidigital number, since it uses as much as digits as its factorization.

100100100110693 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 100100100110693 its reverse (396011001001001), we get a palindrome (496111101111694).

The spelling of 100100100110693 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred ten thousand, six hundred ninety-three".