21120120011001 has 16 divisors (see below), whose sum is σ = 30720664753920. Its totient is φ = 12799868487120.

The previous prime is 21120120010903. The next prime is 21120120011021. The reversal of 21120120011001 is 10011002102112.

It is not a de Polignac number, because 21120120011001 - 2³⁰ = 21119046269177 is a prime.

It is a super-2 number, since 2×21120120011001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21120120011021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2993695 + ... + 7155588.

It is an arithmetic number, because the mean of its divisors is an integer number (1920041547120).

Almost surely, 2^{21120120011001} is an apocalyptic number.

It is an amenable number.

21120120011001 is a deficient number, since it is larger than the sum of its proper divisors (9600544742919).

21120120011001 is a wasteful number, since it uses less digits than its factorization.

21120120011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10212356.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21120120011001 its reverse (10011002102112), we get a palindrome (31131122113113).

It can be divided in two parts, 211201 and 20011001, that added together give a palindrome (20222202).

The spelling of 21120120011001 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty million, eleven thousand, one".