101142343241101 has 8 divisors (see below), whose sum is σ = 101261862856440. Its totient is φ = 101022827125248.

The previous prime is 101142343240969. The next prime is 101142343241143.

101142343241101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 26559860947876 + 74582482293225 = 5153626^2 + 8636115^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101142343241101 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 101142343241101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101142343241501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59415525 + ... + 61094101.

It is an arithmetic number, because the mean of its divisors is an integer number (12657732857055).

Almost surely, 2^{101142343241101} is an apocalyptic number.

It is an amenable number.

101142343241101 is a deficient number, since it is larger than the sum of its proper divisors (119519615339).

101142343241101 is an equidigital number, since it uses as much as digits as its factorization.

101142343241101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749743.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 101142343241101 in words is "one hundred one trillion, one hundred forty-two billion, three hundred forty-three million, two hundred forty-one thousand, one hundred one".