21112122002121 has 16 divisors (see below), whose sum is σ = 31277298102720. Its totient is φ = 14074711856640.

The previous prime is 21112122002077. The next prime is 21112122002131. The reversal of 21112122002121 is 12120022121112.

21112122002121 is a `hidden beast` number, since 211 + 1 + 21 + 220 + 0 + 212 + 1 = 666.

It is not a de Polignac number, because 21112122002121 - 2⁶ = 21112122002057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21112122002094 and 21112122002103.

It is not an unprimeable number, because it can be changed into a prime (21112122002131) 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 15 ways as a sum of consecutive naturals, for example, 13529481 + ... + 15009033.

It is an arithmetic number, because the mean of its divisors is an integer number (1954831131420).

Almost surely, 2^{21112122002121} is an apocalyptic number.

It is an amenable number.

21112122002121 is a deficient number, since it is larger than the sum of its proper divisors (10165176100599).

21112122002121 is a wasteful number, since it uses less digits than its factorization.

21112122002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008053 (or 2008047 counting only the distinct ones).

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

Adding to 21112122002121 its reverse (12120022121112), we get a palindrome (33232144123233).

The spelling of 21112122002121 in words is "twenty-one trillion, one hundred twelve billion, one hundred twenty-two million, two thousand, one hundred twenty-one".