101100101001093 has 12 divisors (see below), whose sum is σ = 146033574674988. Its totient is φ = 67400023279680.

The previous prime is 101100101001091. The next prime is 101100101001127. The reversal of 101100101001093 is 390100101001101.

It can be written as a sum of positive squares in 2 ways, for example, as 28859909668164 + 72240191332929 = 5372142^2 + 8499423^2 .

It is not a de Polignac number, because 101100101001093 - 2¹ = 101100101001091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100101001091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16973071 + ... + 22142387.

It is an arithmetic number, because the mean of its divisors is an integer number (12169464556249).

Almost surely, 2^{101100101001093} is an apocalyptic number.

It is an amenable number.

101100101001093 is a deficient number, since it is larger than the sum of its proper divisors (44933473673895).

101100101001093 is a wasteful number, since it uses less digits than its factorization.

101100101001093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7342404 (or 7342401 counting only the distinct ones).

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

Adding to 101100101001093 its reverse (390100101001101), we get a palindrome (491200202002194).

The spelling of 101100101001093 in words is "one hundred one trillion, one hundred billion, one hundred one million, one thousand, ninety-three".