11101092011001 has 64 divisors (see below), whose sum is σ = 17401524940800. Its totient is φ = 6974888393088.

The previous prime is 11101092010997. The next prime is 11101092011033. The reversal of 11101092011001 is 10011029010111.

It is not a de Polignac number, because 11101092011001 - 2² = 11101092010997 is a prime.

It is a super-6 number, since 6×11101092011001⁶ (a number of 80 digits) contains 666666 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11101092011101) 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 63 ways as a sum of consecutive naturals, for example, 98029525 + ... + 98142701.

It is an arithmetic number, because the mean of its divisors is an integer number (271898827200).

Almost surely, 2^{11101092011001} is an apocalyptic number.

It is an amenable number.

11101092011001 is a deficient number, since it is larger than the sum of its proper divisors (6300432929799).

11101092011001 is a wasteful number, since it uses less digits than its factorization.

11101092011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114195 (or 114189 counting only the distinct ones).

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

The spelling of 11101092011001 in words is "eleven trillion, one hundred one billion, ninety-two million, eleven thousand, one".