21121122002121 has 12 divisors (see below), whose sum is σ = 30510207631540. Its totient is φ = 14079861711360.

The previous prime is 21121122002081. The next prime is 21121122002161. The reversal of 21121122002121 is 12120022112112.

21121122002121 is a `hidden beast` number, since 21 + 1 + 211 + 220 + 0 + 212 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (21121122002081) and next prime (21121122002161).

It can be written as a sum of positive squares in 2 ways, for example, as 14457181107600 + 6663940894521 = 3802260^2 + 2581461^2 .

It is not a de Polignac number, because 21121122002121 - 2¹¹ = 21121122000073 is a prime.

It is a super-2 number, since 2×21121122002121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21121122002094 and 21121122002103.

It is not an unprimeable number, because it can be changed into a prime (21121122002161) 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, 73706560 + ... + 73992561.

Almost surely, 2^{21121122002121} is an apocalyptic number.

It is an amenable number.

21121122002121 is a deficient number, since it is larger than the sum of its proper divisors (9389085629419).

21121122002121 is a wasteful number, since it uses less digits than its factorization.

21121122002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147715016 (or 147715013 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21121122002121 its reverse (12120022112112), we get a palindrome (33241144114233).

The spelling of 21121122002121 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, two thousand, one hundred twenty-one".