21121201123011 has 48 divisors (see below), whose sum is σ = 35089093927680. Its totient is φ = 12107786040000.

The previous prime is 21121201122953. The next prime is 21121201123051. The reversal of 21121201123011 is 11032110212112.

It is a happy number.

21121201123011 is a `hidden beast` number, since 211 + 21 + 20 + 112 + 301 + 1 = 666.

It is not a de Polignac number, because 21121201123011 - 2⁷ = 21121201122883 is a prime.

It is a super-2 number, since 2×21121201123011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121201123051) 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 47 ways as a sum of consecutive naturals, for example, 7710640 + ... + 10084461.

It is an arithmetic number, because the mean of its divisors is an integer number (731022790160).

Almost surely, 2^{21121201123011} is an apocalyptic number.

21121201123011 is a deficient number, since it is larger than the sum of its proper divisors (13967892804669).

21121201123011 is a wasteful number, since it uses less digits than its factorization.

21121201123011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17795768 (or 17795765 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 21121201123011 its reverse (11032110212112), we get a palindrome (32153311335123).

It can be divided in two parts, 21121201 and 123011, that added together give a palindrome (21244212).

The spelling of 21121201123011 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-three thousand, eleven".