20102122121 has 2 divisors, whose sum is σ = 20102122122. Its totient is φ = 20102122120.

The previous prime is 20102122099. The next prime is 20102122127. The reversal of 20102122121 is 12122120102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15685057600 + 4417064521 = 125240^2 + 66461^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102122121 - 2¹⁰ = 20102121097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20102122096 and 20102122105.

It is not a weakly prime, because it can be changed into another prime (20102122127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10051061060 + 10051061061.

It is an arithmetic number, because the mean of its divisors is an integer number (10051061061).

Almost surely, 2^20102122121 is an apocalyptic number.

It is an amenable number.

20102122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102122121 is an equidigital number, since it uses as much as digits as its factorization.

20102122121 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 14.

Adding to 20102122121 its reverse (12122120102), we get a palindrome (32224242223).

The spelling of 20102122121 in words is "twenty billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty-one".