21121002011001 has 16 divisors (see below), whose sum is σ = 28691908660800. Its totient is φ = 13817658820800.

The previous prime is 21121002010987. The next prime is 21121002011099. The reversal of 21121002011001 is 10011020012112.

It is a de Polignac number, because none of the positive numbers 2^k-21121002011001 is a prime.

It is a super-2 number, since 2×21121002011001² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21121002011801) 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, 284604850 + ... + 284679051.

It is an arithmetic number, because the mean of its divisors is an integer number (1793244291300).

Almost surely, 2^{21121002011001} is an apocalyptic number.

It is an amenable number.

21121002011001 is a deficient number, since it is larger than the sum of its proper divisors (7570906649799).

21121002011001 is a wasteful number, since it uses less digits than its factorization.

21121002011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569284136.

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

Adding to 21121002011001 its reverse (10011020012112), we get a palindrome (31132022023113).

The spelling of 21121002011001 in words is "twenty-one trillion, one hundred twenty-one billion, two million, eleven thousand, one".