114140312231101 has 24 divisors (see below), whose sum is σ = 125230559975640. Its totient is φ = 103415880488064.

The previous prime is 114140312231087. The next prime is 114140312231119. The reversal of 114140312231101 is 101132213041411.

It can be written as a sum of positive squares in 4 ways, for example, as 5545676465476 + 108594635765625 = 2354926^2 + 10420875^2 .

It is not a de Polignac number, because 114140312231101 - 2³⁵ = 114105952492733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114140312231131) 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, 27618915 + ... + 31481503.

It is an arithmetic number, because the mean of its divisors is an integer number (5217939998985).

Almost surely, 2^{114140312231101} is an apocalyptic number.

It is an amenable number.

114140312231101 is a deficient number, since it is larger than the sum of its proper divisors (11090247744539).

114140312231101 is an equidigital number, since it uses as much as digits as its factorization.

114140312231101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863373 (or 3863314 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 114140312231101 its reverse (101132213041411), we get a palindrome (215272525272512).

The spelling of 114140312231101 in words is "one hundred fourteen trillion, one hundred forty billion, three hundred twelve million, two hundred thirty-one thousand, one hundred one".