1101100010093 has 6 divisors (see below), whose sum is σ = 1169680633866. Its totient is φ = 1036329420992.

The previous prime is 1101100010081. The next prime is 1101100010111. The reversal of 1101100010093 is 3900100011011.

It can be written as a sum of positive squares in 3 ways, for example, as 256616204329 + 844483805764 = 506573^2 + 918958^2 .

It is not a de Polignac number, because 1101100010093 - 2³⁰ = 1100026268269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101100010993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1905017030 + ... + 1905017607.

It is an arithmetic number, because the mean of its divisors is an integer number (194946772311).

Almost surely, 2^{1101100010093} is an apocalyptic number.

It is an amenable number.

1101100010093 is a deficient number, since it is larger than the sum of its proper divisors (68580623773).

1101100010093 is an equidigital number, since it uses as much as digits as its factorization.

1101100010093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810034671 (or 3810034654 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 17.

The spelling of 1101100010093 in words is "one trillion, one hundred one billion, one hundred million, ten thousand, ninety-three".