10012122101 has 2 divisors, whose sum is σ = 10012122102. Its totient is φ = 10012122100.

The previous prime is 10012122077. The next prime is 10012122119. The reversal of 10012122101 is 10122121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6903948100 + 3108174001 = 83090^2 + 55751^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012122101 - 2⁶ = 10012122037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012122161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006061050 + 5006061051.

It is an arithmetic number, because the mean of its divisors is an integer number (5006061051).

Almost surely, 2^10012122101 is an apocalyptic number.

It is an amenable number.

10012122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012122101 is an equidigital number, since it uses as much as digits as its factorization.

10012122101 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 10012122101 its reverse (10122121001), we get a palindrome (20134243102).

The spelling of 10012122101 in words is "ten billion, twelve million, one hundred twenty-two thousand, one hundred one".