101131024121345 has 8 divisors (see below), whose sum is σ = 122058715819176. Its totient is φ = 80437161381376.

The previous prime is 101131024121339. The next prime is 101131024121383. The reversal of 101131024121345 is 543121420131101.

It can be written as a sum of positive squares in 4 ways, for example, as 39669124545649 + 61461899575696 = 6298343^2 + 7839764^2 .

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 101131024121345 - 2⁴⁰ = 100031512493569 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58457238512 + ... + 58457240241.

It is an arithmetic number, because the mean of its divisors is an integer number (15257339477397).

Almost surely, 2^{101131024121345} is an apocalyptic number.

It is an amenable number.

101131024121345 is a deficient number, since it is larger than the sum of its proper divisors (20927691697831).

101131024121345 is a wasteful number, since it uses less digits than its factorization.

101131024121345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116914478931.

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 101131024121345 its reverse (543121420131101), we get a palindrome (644252444252446).

The spelling of 101131024121345 in words is "one hundred one trillion, one hundred thirty-one billion, twenty-four million, one hundred twenty-one thousand, three hundred forty-five".