21114121024001 has 48 divisors (see below), whose sum is σ = 23189993185920. Its totient is φ = 19165347532800.

The previous prime is 21114121023997. The next prime is 21114121024013. The reversal of 21114121024001 is 10042012141112.

It is not a de Polignac number, because 21114121024001 - 2² = 21114121023997 is a prime.

It is a super-2 number, since 2×21114121024001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21114121024021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1311183716 + ... + 1311199818.

It is an arithmetic number, because the mean of its divisors is an integer number (483124858040).

Almost surely, 2^{21114121024001} is an apocalyptic number.

It is an amenable number.

21114121024001 is a deficient number, since it is larger than the sum of its proper divisors (2075872161919).

21114121024001 is a wasteful number, since it uses less digits than its factorization.

21114121024001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16938 (or 16897 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21114121024001 its reverse (10042012141112), we get a palindrome (31156133165113).

The spelling of 21114121024001 in words is "twenty-one trillion, one hundred fourteen billion, one hundred twenty-one million, twenty-four thousand, one".