10114320102101 has 8 divisors (see below), whose sum is σ = 10116486391320. Its totient is φ = 10112154061312.

The previous prime is 10114320102079. The next prime is 10114320102143. The reversal of 10114320102101 is 10120102341101.

It can be written as a sum of positive squares in 4 ways, for example, as 4529345907076 + 5584974195025 = 2128226^2 + 2363255^2 .

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 10114320102101 - 2¹⁰ = 10114320101077 is a prime.

It is a super-2 number, since 2×10114320102101² (a number of 27 digits) contains 22 as substring.

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 10114320102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114320102151) 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, 96834761 + ... + 96939153.

It is an arithmetic number, because the mean of its divisors is an integer number (1264560798915).

Almost surely, 2^{10114320102101} is an apocalyptic number.

It is an amenable number.

10114320102101 is a deficient number, since it is larger than the sum of its proper divisors (2166289219).

10114320102101 is a wasteful number, since it uses less digits than its factorization.

10114320102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124215.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10114320102101 its reverse (10120102341101), we get a palindrome (20234422443202).

The spelling of 10114320102101 in words is "ten trillion, one hundred fourteen billion, three hundred twenty million, one hundred two thousand, one hundred one".