101011232129 has 2 divisors, whose sum is σ = 101011232130. Its totient is φ = 101011232128.

The previous prime is 101011232099. The next prime is 101011232131. The reversal of 101011232129 is 921232110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96642022129 + 4369210000 = 310873^2 + 66100^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011232129 - 2¹² = 101011228033 is a prime.

Together with 101011232131, 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 (101011232159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505616064 + 50505616065.

It is an arithmetic number, because the mean of its divisors is an integer number (50505616065).

Almost surely, 2^101011232129 is an apocalyptic number.

It is an amenable number.

101011232129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011232129 is an equidigital number, since it uses as much as digits as its factorization.

101011232129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 101011232129 in words is "one hundred one billion, eleven million, two hundred thirty-two thousand, one hundred twenty-nine".