101664412121 has 2 divisors, whose sum is σ = 101664412122. Its totient is φ = 101664412120.

The previous prime is 101664412099. The next prime is 101664412123. The reversal of 101664412121 is 121214466101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75204835225 + 26459576896 = 274235^2 + 162664^2 .

It is a cyclic number.

It is not a de Polignac number, because 101664412121 - 2¹⁰ = 101664411097 is a prime.

Together with 101664412123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101664412123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50832206060 + 50832206061.

It is an arithmetic number, because the mean of its divisors is an integer number (50832206061).

Almost surely, 2^101664412121 is an apocalyptic number.

It is an amenable number.

101664412121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101664412121 is an equidigital number, since it uses as much as digits as its factorization.

101664412121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 101664412121 its reverse (121214466101), we get a palindrome (222878878222).

The spelling of 101664412121 in words is "one hundred one billion, six hundred sixty-four million, four hundred twelve thousand, one hundred twenty-one".