10114404344135 has 48 divisors (see below), whose sum is σ = 15107099120064. Its totient is φ = 6365077595136.

The previous prime is 10114404344119. The next prime is 10114404344147. The reversal of 10114404344135 is 53144340441101.

10114404344135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10114404344135 - 2⁴ = 10114404344119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 10114404344095 and 10114404344104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3918782 + ... + 5965371.

It is an arithmetic number, because the mean of its divisors is an integer number (314731231668).

Almost surely, 2^{10114404344135} is an apocalyptic number.

10114404344135 is a deficient number, since it is larger than the sum of its proper divisors (4992694775929).

10114404344135 is a wasteful number, since it uses less digits than its factorization.

10114404344135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9884364 (or 9884351 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 10114404344135 its reverse (53144340441101), we get a palindrome (63258744785236).

The spelling of 10114404344135 in words is "ten trillion, one hundred fourteen billion, four hundred four million, three hundred forty-four thousand, one hundred thirty-five".