101235251234329 has 27 divisors (see below), whose sum is σ = 103759092816183. Its totient is φ = 98772127856064.

The previous prime is 101235251234321. The next prime is 101235251234333. The reversal of 101235251234329 is 923432152532101.

It is a happy number.

The square root of 101235251234329 is 10061573.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 159332697225 + 101075918537104 = 399165^2 + 10053652^2 .

It is not a de Polignac number, because 101235251234329 - 2³ = 101235251234321 is a prime.

It is a super-2 number, since 2×101235251234329² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101235251234321) 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 in 26 ways as a sum of consecutive naturals, for example, 122117311087 + ... + 122117311915.

Almost surely, 2^{101235251234329} is an apocalyptic number.

101235251234329 is the 10061573-rd square number.

101235251234329 is the 5030787-th centered octagonal number.

It is an amenable number.

101235251234329 is a deficient number, since it is larger than the sum of its proper divisors (2523841581854).

101235251234329 is an frugal number, since it uses more digits than its factorization.

101235251234329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 101235251234329 in words is "one hundred one trillion, two hundred thirty-five billion, two hundred fifty-one million, two hundred thirty-four thousand, three hundred twenty-nine".