21003331100121 has 12 divisors (see below), whose sum is σ = 32122741682772. Its totient is φ = 13178560690176.

The previous prime is 21003331100051. The next prime is 21003331100131. The reversal of 21003331100121 is 12100113330012.

21003331100121 is a `hidden beast` number, since 2 + 100 + 333 + 110 + 0 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7869085325721 + 13134245774400 = 2805189^2 + 3624120^2 .

It is not a de Polignac number, because 21003331100121 - 2²¹ = 21003329002969 is a prime.

It is a super-2 number, since 2×21003331100121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21003331100094 and 21003331100103.

It is not an unprimeable number, because it can be changed into a prime (21003331100131) 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 11 ways as a sum of consecutive naturals, for example, 68638336776 + ... + 68638337081.

It is an arithmetic number, because the mean of its divisors is an integer number (2676895140231).

Almost surely, 2^{21003331100121} is an apocalyptic number.

It is an amenable number.

21003331100121 is a deficient number, since it is larger than the sum of its proper divisors (11119410582651).

21003331100121 is a wasteful number, since it uses less digits than its factorization.

21003331100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137276673880 (or 137276673877 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21003331100121 its reverse (12100113330012), we get a palindrome (33103444430133).

The spelling of 21003331100121 in words is "twenty-one trillion, three billion, three hundred thirty-one million, one hundred thousand, one hundred twenty-one".