100001101011093 has 24 divisors (see below), whose sum is σ = 147971845397376. Its totient is φ = 65040163617600.

The previous prime is 100001101011079. The next prime is 100001101011107. The reversal of 100001101011093 is 390110101100001.

It is an interprime number because it is at equal distance from previous prime (100001101011079) and next prime (100001101011107).

It is not a de Polignac number, because 100001101011093 - 2¹⁸ = 100001100748949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001101011893) 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 23 ways as a sum of consecutive naturals, for example, 17693428 + ... + 22650818.

It is an arithmetic number, because the mean of its divisors is an integer number (6165493558224).

Almost surely, 2^{100001101011093} is an apocalyptic number.

It is an amenable number.

100001101011093 is a deficient number, since it is larger than the sum of its proper divisors (47970744386283).

100001101011093 is a wasteful number, since it uses less digits than its factorization.

100001101011093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012105 (or 5012102 counting only the distinct ones).

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

Adding to 100001101011093 its reverse (390110101100001), we get a palindrome (490111202111094).

The spelling of 100001101011093 in words is "one hundred trillion, one billion, one hundred one million, eleven thousand, ninety-three".