101231122189 has 2 divisors, whose sum is σ = 101231122190. Its totient is φ = 101231122188.

The previous prime is 101231122099. The next prime is 101231122229. The reversal of 101231122189 is 981221132101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96622748964 + 4608373225 = 310842^2 + 67885^2 .

It is a cyclic number.

It is not a de Polignac number, because 101231122189 - 2²⁹ = 100694251277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101231122189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101231120189) 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, 50615561094 + 50615561095.

It is an arithmetic number, because the mean of its divisors is an integer number (50615561095).

Almost surely, 2^101231122189 is an apocalyptic number.

It is an amenable number.

101231122189 is a deficient number, since it is larger than the sum of its proper divisors (1).

101231122189 is an equidigital number, since it uses as much as digits as its factorization.

101231122189 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 31.

The spelling of 101231122189 in words is "one hundred one billion, two hundred thirty-one million, one hundred twenty-two thousand, one hundred eighty-nine".