100101101010093 has 20 divisors (see below), whose sum is σ = 150451128433408. Its totient is φ = 66324655875240.

The previous prime is 100101101010073. The next prime is 100101101010199. The reversal of 100101101010093 is 390010101101001.

It is not a de Polignac number, because 100101101010093 - 2⁴⁰ = 99001589382317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101101010073) 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 in 19 ways as a sum of consecutive naturals, for example, 3790833613 + ... + 3790860018.

Almost surely, 2^{100101101010093} is an apocalyptic number.

It is an amenable number.

100101101010093 is a deficient number, since it is larger than the sum of its proper divisors (50350027423315).

100101101010093 is an equidigital number, since it uses as much as digits as its factorization.

100101101010093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7581693806 (or 7581693797 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 100101101010093 its reverse (390010101101001), we get a palindrome (490111202111094).

The spelling of 100101101010093 in words is "one hundred trillion, one hundred one billion, one hundred one million, ten thousand, ninety-three".