1100101101093 has 24 divisors (see below), whose sum is σ = 1627854348120. Its totient is φ = 715485450240.

The previous prime is 1100101101079. The next prime is 1100101101103. The reversal of 1100101101093 is 3901011010011.

It can be written as a sum of positive squares in 4 ways, for example, as 329915830689 + 770185270404 = 574383^2 + 877602^2 .

It is not a de Polignac number, because 1100101101093 - 2⁵ = 1100101101061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101101023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14770455 + ... + 14844747.

It is an arithmetic number, because the mean of its divisors is an integer number (67827264505).

Almost surely, 2^{1100101101093} is an apocalyptic number.

It is an amenable number.

1100101101093 is a deficient number, since it is larger than the sum of its proper divisors (527753247027).

1100101101093 is a wasteful number, since it uses less digits than its factorization.

1100101101093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114469 (or 114466 counting only the distinct ones).

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

The spelling of 1100101101093 in words is "one trillion, one hundred billion, one hundred one million, one hundred one thousand, ninety-three".