21111131222001 has 128 divisors (see below), whose sum is σ = 35730393753600. Its totient is φ = 12235494942720.

The previous prime is 21111131221979. The next prime is 21111131222141. The reversal of 21111131222001 is 10022213111112.

It is a happy number.

21111131222001 is a `hidden beast` number, since 21 + 1 + 111 + 312 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 21111131222001 - 2²¹ = 21111129124849 is a prime.

It is a super-2 number, since 2×21111131222001² (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 (21111131222501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 616060470 + ... + 616094736.

It is an arithmetic number, because the mean of its divisors is an integer number (279143701200).

Almost surely, 2^{21111131222001} is an apocalyptic number.

It is an amenable number.

21111131222001 is a deficient number, since it is larger than the sum of its proper divisors (14619262531599).

21111131222001 is a wasteful number, since it uses less digits than its factorization.

21111131222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36076 (or 36070 counting only the distinct ones).

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

Adding to 21111131222001 its reverse (10022213111112), we get a palindrome (31133344333113).

The spelling of 21111131222001 in words is "twenty-one trillion, one hundred eleven billion, one hundred thirty-one million, two hundred twenty-two thousand, one".