101114100340341 has 24 divisors (see below), whose sum is σ = 148230277497120. Its totient is φ = 61264310812320.

The previous prime is 101114100340333. The next prime is 101114100340343. The reversal of 101114100340341 is 143043001411101.

It is not a de Polignac number, because 101114100340341 - 2³ = 101114100340333 is a prime.

It is a super-2 number, since 2×101114100340341² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101114100340343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37236951 + ... + 39859988.

It is an arithmetic number, because the mean of its divisors is an integer number (6176261562380).

Almost surely, 2^{101114100340341} is an apocalyptic number.

101114100340341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101114100340341 is a deficient number, since it is larger than the sum of its proper divisors (47116177156779).

101114100340341 is a wasteful number, since it uses less digits than its factorization.

101114100340341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77100577 (or 77100566 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 101114100340341 its reverse (143043001411101), we get a palindrome (244157101751442).

The spelling of 101114100340341 in words is "one hundred one trillion, one hundred fourteen billion, one hundred million, three hundred forty thousand, three hundred forty-one".