20101212220121 has 2 divisors, whose sum is σ = 20101212220122. Its totient is φ = 20101212220120.

The previous prime is 20101212220003. The next prime is 20101212220127. The reversal of 20101212220121 is 12102221210102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19002310778896 + 1098901441225 = 4359164^2 + 1048285^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101212220121 - 2³⁰ = 20100138478297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20101212220121.

It is not a weakly prime, because it can be changed into another prime (20101212220127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050606110060 + 10050606110061.

It is an arithmetic number, because the mean of its divisors is an integer number (10050606110061).

Almost surely, 2^{20101212220121} is an apocalyptic number.

It is an amenable number.

20101212220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101212220121 is an equidigital number, since it uses as much as digits as its factorization.

20101212220121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20101212220121 its reverse (12102221210102), we get a palindrome (32203433430223).

The spelling of 20101212220121 in words is "twenty trillion, one hundred one billion, two hundred twelve million, two hundred twenty thousand, one hundred twenty-one".