101100031229 has 2 divisors, whose sum is σ = 101100031230. Its totient is φ = 101100031228.

The previous prime is 101100031189. The next prime is 101100031267. The reversal of 101100031229 is 922130001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56016002329 + 45084028900 = 236677^2 + 212330^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100031229 - 2²⁸ = 100831595773 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101100031229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100031429) 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, 50550015614 + 50550015615.

It is an arithmetic number, because the mean of its divisors is an integer number (50550015615).

Almost surely, 2^101100031229 is an apocalyptic number.

It is an amenable number.

101100031229 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100031229 is an equidigital number, since it uses as much as digits as its factorization.

101100031229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 101100031229 in words is "one hundred one billion, one hundred million, thirty-one thousand, two hundred twenty-nine".