101112222329 has 2 divisors, whose sum is σ = 101112222330. Its totient is φ = 101112222328.

The previous prime is 101112222301. The next prime is 101112222361. The reversal of 101112222329 is 923222211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96646374400 + 4465847929 = 310880^2 + 66827^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112222329 - 2²⁰ = 101111173753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101112222298 and 101112222307.

It is not a weakly prime, because it can be changed into another prime (101112222389) 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, 50556111164 + 50556111165.

It is an arithmetic number, because the mean of its divisors is an integer number (50556111165).

Almost surely, 2^101112222329 is an apocalyptic number.

It is an amenable number.

101112222329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112222329 is an equidigital number, since it uses as much as digits as its factorization.

101112222329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 101112222329 in words is "one hundred one billion, one hundred twelve million, two hundred twenty-two thousand, three hundred twenty-nine".