20002112112121 has 2 divisors, whose sum is σ = 20002112112122. Its totient is φ = 20002112112120.

The previous prime is 20002112112083. The next prime is 20002112112131. The reversal of 20002112112121 is 12121121120002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10147817998096 + 9854294114025 = 3185564^2 + 3139155^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002112112121 - 2¹³ = 20002112103929 is a prime.

It is a super-2 number, since 2×20002112112121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20002112112095 and 20002112112104.

It is not a weakly prime, because it can be changed into another prime (20002112112131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10001056056060 + 10001056056061.

It is an arithmetic number, because the mean of its divisors is an integer number (10001056056061).

Almost surely, 2^{20002112112121} is an apocalyptic number.

It is an amenable number.

20002112112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002112112121 is an equidigital number, since it uses as much as digits as its factorization.

20002112112121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20002112112121 its reverse (12121121120002), we get a palindrome (32123233232123).

The spelling of 20002112112121 in words is "twenty trillion, two billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty-one".