10111002011001 has 80 divisors (see below), whose sum is σ = 16720943923200. Its totient is φ = 6060149216352.

The previous prime is 10111002010987. The next prime is 10111002011003. The reversal of 10111002011001 is 10011020011101.

It is not a de Polignac number, because 10111002011001 - 2¹³ = 10111002002809 is a prime.

It is a super-2 number, since 2×10111002011001² (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 (10111002011003) 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 79 ways as a sum of consecutive naturals, for example, 3370830 + ... + 5620008.

It is an arithmetic number, because the mean of its divisors is an integer number (209011799040).

Almost surely, 2^{10111002011001} is an apocalyptic number.

It is an amenable number.

10111002011001 is a deficient number, since it is larger than the sum of its proper divisors (6609941912199).

10111002011001 is a wasteful number, since it uses less digits than its factorization.

10111002011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249360 (or 2249351 counting only the distinct ones).

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

Adding to 10111002011001 its reverse (10011020011101), we get a palindrome (20122022022102).

The spelling of 10111002011001 in words is "ten trillion, one hundred eleven billion, two million, eleven thousand, one".