101101001001099 has 288 divisors, whose sum is σ = 167501279151360. Its totient is φ = 54095677870080.

The previous prime is 101101001001083. The next prime is 101101001001103. The reversal of 101101001001099 is 990100100101101.

It is not a de Polignac number, because 101101001001099 - 2⁴ = 101101001001083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101001000099) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25771346752 + ... + 25771350674.

It is an arithmetic number, because the mean of its divisors is an integer number (581601663720).

Almost surely, 2^{101101001001099} is an apocalyptic number.

101101001001099 is a deficient number, since it is larger than the sum of its proper divisors (66400278150261).

101101001001099 is a wasteful number, since it uses less digits than its factorization.

101101001001099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4223 counting only the distinct ones).

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

The spelling of 101101001001099 in words is "one hundred one trillion, one hundred one billion, one million, one thousand, ninety-nine".