10114400341001 has 32 divisors (see below), whose sum is σ = 11271888875520. Its totient is φ = 8998640481600.

The previous prime is 10114400340923. The next prime is 10114400341021. The reversal of 10114400341001 is 10014300441101.

It is a de Polignac number, because none of the positive numbers 2^k-10114400341001 is a prime.

It is a super-2 number, since 2×10114400341001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10114400341021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94767095 + ... + 94873763.

It is an arithmetic number, because the mean of its divisors is an integer number (352246527360).

Almost surely, 2^{10114400341001} is an apocalyptic number.

10114400341001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10114400341001 is a deficient number, since it is larger than the sum of its proper divisors (1157488534519).

10114400341001 is a wasteful number, since it uses less digits than its factorization.

10114400341001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107645.

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

Adding to 10114400341001 its reverse (10014300441101), we get a palindrome (20128700782102).

It can be divided in two parts, 10114400 and 341001, that added together give a palindrome (10455401).

The spelling of 10114400341001 in words is "ten trillion, one hundred fourteen billion, four hundred million, three hundred forty-one thousand, one".