21121101333301 has 16 divisors (see below), whose sum is σ = 22635316693440. Its totient is φ = 19648250161920.

The previous prime is 21121101333253. The next prime is 21121101333307. The reversal of 21121101333301 is 10333310112112.

It is a cyclic number.

It is not a de Polignac number, because 21121101333301 - 2³³ = 21112511398709 is a prime.

It is a super-2 number, since 2×21121101333301² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121101333307) 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 15 ways as a sum of consecutive naturals, for example, 14678275 + ... + 16052848.

It is an arithmetic number, because the mean of its divisors is an integer number (1414707293340).

Almost surely, 2^{21121101333301} is an apocalyptic number.

It is an amenable number.

21121101333301 is a deficient number, since it is larger than the sum of its proper divisors (1514215360139).

21121101333301 is a wasteful number, since it uses less digits than its factorization.

21121101333301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30731796.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 21121101333301 its reverse (10333310112112), we get a palindrome (31454411445413).

The spelling of 21121101333301 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one million, three hundred thirty-three thousand, three hundred one".