1001101101099 has 24 divisors (see below), whose sum is σ = 1480890479040. Its totient is φ = 601057562160.

The previous prime is 1001101101073. The next prime is 1001101101101. The reversal of 1001101101099 is 9901011011001.

It is not a de Polignac number, because 1001101101099 - 2⁸ = 1001101100843 is a prime.

It is a super-3 number, since 3×1001101101099³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001101106099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12848329 + ... + 12926010.

It is an arithmetic number, because the mean of its divisors is an integer number (61703769960).

Almost surely, 2^{1001101101099} is an apocalyptic number.

1001101101099 is a deficient number, since it is larger than the sum of its proper divisors (479789377941).

1001101101099 is a wasteful number, since it uses less digits than its factorization.

1001101101099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25774471 (or 25774460 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 24.

The spelling of 1001101101099 in words is "one trillion, one billion, one hundred one million, one hundred one thousand, ninety-nine".