21000122033121 has 80 divisors (see below), whose sum is σ = 40372994838528. Its totient is φ = 10557246002400.

The previous prime is 21000122033101. The next prime is 21000122033131. The reversal of 21000122033121 is 12133022100012.

21000122033121 is a `hidden beast` number, since 210 + 0 + 0 + 122 + 0 + 331 + 2 + 1 = 666.

It is not a de Polignac number, because 21000122033121 - 2²¹ = 21000119935969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21000122033094 and 21000122033103.

It is not an unprimeable number, because it can be changed into a prime (21000122033101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54113475 + ... + 54500168.

Almost surely, 2^{21000122033121} is an apocalyptic number.

21000122033121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21000122033121 is a deficient number, since it is larger than the sum of its proper divisors (19372872805407).

21000122033121 is a wasteful number, since it uses less digits than its factorization.

21000122033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108613704 (or 108613695 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21000122033121 its reverse (12133022100012), we get a palindrome (33133144133133).

The spelling of 21000122033121 in words is "twenty-one trillion, one hundred twenty-two million, thirty-three thousand, one hundred twenty-one".