10014342101120 has 64 divisors (see below), whose sum is σ = 27360613252800. Its totient is φ = 3433488718848.

The previous prime is 10014342101117. The next prime is 10014342101131. The reversal of 10014342101120 is 2110124341001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10014342101092 and 10014342101101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1117667630 + ... + 1117676589.

It is an arithmetic number, because the mean of its divisors is an integer number (427509582075).

Almost surely, 2^{10014342101120} is an apocalyptic number.

10014342101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014342101120 is an abundant number, since it is smaller than the sum of its proper divisors (17346271151680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10014342101120 is an equidigital number, since it uses as much as digits as its factorization.

10014342101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235344245 (or 2235344233 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10014342101120 its reverse (2110124341001), we get a palindrome (12124466442121).

The spelling of 10014342101120 in words is "ten trillion, fourteen billion, three hundred forty-two million, one hundred one thousand, one hundred twenty".