101252231304353 has 8 divisors (see below), whose sum is σ = 101320669727400. Its totient is φ = 101183814690048.

The previous prime is 101252231304307. The next prime is 101252231304373. The reversal of 101252231304353 is 353403132252101.

It can be written as a sum of positive squares in 4 ways, for example, as 28729685760064 + 72522545544289 = 5360008^2 + 8516017^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101252231304353 - 2¹⁰ = 101252231303329 is a prime.

It is a super-2 number, since 2×101252231304353² (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 (101252231304373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3841775 + ... + 14739867.

It is an arithmetic number, because the mean of its divisors is an integer number (12665083715925).

Almost surely, 2^{101252231304353} is an apocalyptic number.

It is an amenable number.

101252231304353 is a deficient number, since it is larger than the sum of its proper divisors (68438423047).

101252231304353 is a wasteful number, since it uses less digits than its factorization.

101252231304353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10904371.

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 101252231304353 its reverse (353403132252101), we get a palindrome (454655363556454).

The spelling of 101252231304353 in words is "one hundred one trillion, two hundred fifty-two billion, two hundred thirty-one million, three hundred four thousand, three hundred fifty-three".