21100132112121 has 16 divisors (see below), whose sum is σ = 32904689454400. Its totient is φ = 13326399228384.

The previous prime is 21100132112117. The next prime is 21100132112177. The reversal of 21100132112121 is 12121123100112.

It is a happy number.

21100132112121 is a `hidden beast` number, since 211 + 0 + 0 + 1 + 321 + 12 + 121 = 666.

It is not a de Polignac number, because 21100132112121 - 2² = 21100132112117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21100132112094 and 21100132112103.

It is not an unprimeable number, because it can be changed into a prime (21100132112621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20565430396 + ... + 20565431421.

It is an arithmetic number, because the mean of its divisors is an integer number (2056543090900).

Almost surely, 2^{21100132112121} is an apocalyptic number.

It is an amenable number.

21100132112121 is a deficient number, since it is larger than the sum of its proper divisors (11804557342279).

21100132112121 is a wasteful number, since it uses less digits than its factorization.

21100132112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41130861845 (or 41130861839 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 21100132112121 its reverse (12121123100112), we get a palindrome (33221255212233).

The spelling of 21100132112121 in words is "twenty-one trillion, one hundred billion, one hundred thirty-two million, one hundred twelve thousand, one hundred twenty-one".