11101002011001 has 72 divisors (see below), whose sum is σ = 18736700261760. Its totient is φ = 6314881196736.

The previous prime is 11101002010999. The next prime is 11101002011069. The reversal of 11101002011001 is 10011020010111.

It is not a de Polignac number, because 11101002011001 - 2¹ = 11101002010999 is a prime.

It is a super-3 number, since 3×11101002011001³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11101002011501) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 370673310 + ... + 370703256.

It is an arithmetic number, because the mean of its divisors is an integer number (260231948080).

Almost surely, 2^{11101002011001} is an apocalyptic number.

It is an amenable number.

11101002011001 is a deficient number, since it is larger than the sum of its proper divisors (7635698250759).

11101002011001 is a wasteful number, since it uses less digits than its factorization.

11101002011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33723 (or 33713 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11101002011001 its reverse (10011020010111), we get a palindrome (21112022021112).

The spelling of 11101002011001 in words is "eleven trillion, one hundred one billion, two million, eleven thousand, one".