11102001011001 has 48 divisors (see below), whose sum is σ = 17173403520000. Its totient is φ = 6895778520960.

The previous prime is 11102001010981. The next prime is 11102001011021. The reversal of 11102001011001 is 10011010020111.

It is an interprime number because it is at equal distance from previous prime (11102001010981) and next prime (11102001011021).

It is not a de Polignac number, because 11102001011001 - 2⁶ = 11102001010937 is a prime.

It is a super-2 number, since 2×11102001011001² (a number of 27 digits) contains 22 as substring.

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 (11102001011021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857940 + ... + 4789578.

It is an arithmetic number, because the mean of its divisors is an integer number (357779240000).

Almost surely, 2^{11102001011001} is an apocalyptic number.

It is an amenable number.

11102001011001 is a deficient number, since it is larger than the sum of its proper divisors (6071402508999).

11102001011001 is a wasteful number, since it uses less digits than its factorization.

11102001011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932054 (or 3932051 counting only the distinct ones).

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

Adding to 11102001011001 its reverse (10011010020111), we get a palindrome (21113011031112).

The spelling of 11102001011001 in words is "eleven trillion, one hundred two billion, one million, eleven thousand, one".