101112130322329 has 6 divisors (see below), whose sum is σ = 117620233232154. Its totient is φ = 86667540276240.

The previous prime is 101112130322293. The next prime is 101112130322363. The reversal of 101112130322329 is 923223031211101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99467670329104 + 1644459993225 = 9973348^2 + 1282365^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101112130322329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101112130322329.

It is not an unprimeable number, because it can be changed into a prime (101112130332329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1031756431812 + ... + 1031756431909.

It is an arithmetic number, because the mean of its divisors is an integer number (19603372205359).

Almost surely, 2^{101112130322329} is an apocalyptic number.

It is an amenable number.

101112130322329 is a deficient number, since it is larger than the sum of its proper divisors (16508102909825).

101112130322329 is an equidigital number, since it uses as much as digits as its factorization.

101112130322329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063512863735 (or 2063512863728 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 101112130322329 in words is "one hundred one trillion, one hundred twelve billion, one hundred thirty million, three hundred twenty-two thousand, three hundred twenty-nine".