10114400340011 has 8 divisors (see below), whose sum is σ = 11682943708464. Its totient is φ = 8654032376320.

The previous prime is 10114400339969. The next prime is 10114400340047. The reversal of 10114400340011 is 11004300441101.

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-10114400340011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10114400040011) 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, 27043850990 + ... + 27043851363.

It is an arithmetic number, because the mean of its divisors is an integer number (1460367963558).

Almost surely, 2^{10114400340011} is an apocalyptic number.

10114400340011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10114400340011 is a deficient number, since it is larger than the sum of its proper divisors (1568543368453).

10114400340011 is a wasteful number, since it uses less digits than its factorization.

10114400340011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54087702381.

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

Adding to 10114400340011 its reverse (11004300441101), we get a palindrome (21118700781112).

The spelling of 10114400340011 in words is "ten trillion, one hundred fourteen billion, four hundred million, three hundred forty thousand, eleven".