20121022112121 has 48 divisors (see below), whose sum is σ = 34720197657600. Its totient is φ = 11217294486720.

The previous prime is 20121022112083. The next prime is 20121022112129. The reversal of 20121022112121 is 12121122012102.

20121022112121 is a `hidden beast` number, since 20 + 1 + 210 + 221 + 1 + 212 + 1 = 666.

It is not a de Polignac number, because 20121022112121 - 2¹¹ = 20121022110073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121022112094 and 20121022112103.

It is not an unprimeable number, because it can be changed into a prime (20121022112129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79361065 + ... + 79614198.

It is an arithmetic number, because the mean of its divisors is an integer number (723337451200).

Almost surely, 2^{20121022112121} is an apocalyptic number.

20121022112121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20121022112121 is a deficient number, since it is larger than the sum of its proper divisors (14599175545479).

20121022112121 is a wasteful number, since it uses less digits than its factorization.

20121022112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158975331 (or 158975314 counting only the distinct ones).

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

Adding to 20121022112121 its reverse (12121122012102), we get a palindrome (32242144124223).

The spelling of 20121022112121 in words is "twenty trillion, one hundred twenty-one billion, twenty-two million, one hundred twelve thousand, one hundred twenty-one".