20101102222121 has 2 divisors, whose sum is σ = 20101102222122. Its totient is φ = 20101102222120.

The previous prime is 20101102222111. The next prime is 20101102222183. The reversal of 20101102222121 is 12122220110102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17524178343721 + 2576923878400 = 4186189^2 + 1605280^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101102222121 - 2¹⁸ = 20101101959977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20101102222121.

It is not a weakly prime, because it can be changed into another prime (20101102222111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050551111060 + 10050551111061.

It is an arithmetic number, because the mean of its divisors is an integer number (10050551111061).

Almost surely, 2^{20101102222121} is an apocalyptic number.

It is an amenable number.

20101102222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101102222121 is an equidigital number, since it uses as much as digits as its factorization.

20101102222121 is an evil number, because the sum of its binary digits is even.

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

Adding to 20101102222121 its reverse (12122220110102), we get a palindrome (32223322332223).

The spelling of 20101102222121 in words is "twenty trillion, one hundred one billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty-one".