101012122212329 has 2 divisors, whose sum is σ = 101012122212330. Its totient is φ = 101012122212328.

The previous prime is 101012122212263. The next prime is 101012122212361. The reversal of 101012122212329 is 923212221210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89309209626025 + 11702912586304 = 9450355^2 + 3420952^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012122212329 - 2¹² = 101012122208233 is a prime.

It is not a weakly prime, because it can be changed into another prime (101012122212229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506061106164 + 50506061106165.

It is an arithmetic number, because the mean of its divisors is an integer number (50506061106165).

Almost surely, 2^{101012122212329} is an apocalyptic number.

It is an amenable number.

101012122212329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012122212329 is an equidigital number, since it uses as much as digits as its factorization.

101012122212329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 101012122212329 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, two hundred twelve thousand, three hundred twenty-nine".