10102012121 has 2 divisors, whose sum is σ = 10102012122. Its totient is φ = 10102012120.

The previous prime is 10102012097. The next prime is 10102012127. The reversal of 10102012121 is 12121020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10012804096 + 89208025 = 100064^2 + 9445^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102012121 - 2⁶ = 10102012057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102012127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051006060 + 5051006061.

It is an arithmetic number, because the mean of its divisors is an integer number (5051006061).

Almost surely, 2^10102012121 is an apocalyptic number.

It is an amenable number.

10102012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102012121 is an equidigital number, since it uses as much as digits as its factorization.

10102012121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10102012121 its reverse (12121020101), we get a palindrome (22223032222).

The spelling of 10102012121 in words is "ten billion, one hundred two million, twelve thousand, one hundred twenty-one".