114343311140101 has 2 divisors, whose sum is σ = 114343311140102. Its totient is φ = 114343311140100.

The previous prime is 114343311140083. The next prime is 114343311140287. The reversal of 114343311140101 is 101041113343411.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103440595830625 + 10902715309476 = 10170575^2 + 3301926^2 .

It is a cyclic number.

It is not a de Polignac number, because 114343311140101 - 2²³ = 114343302751493 is a prime.

It is a super-4 number, since 4×114343311140101⁴ (a number of 57 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114343311140101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114340311140101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57171655570050 + 57171655570051.

It is an arithmetic number, because the mean of its divisors is an integer number (57171655570051).

Almost surely, 2^{114343311140101} is an apocalyptic number.

It is an amenable number.

114343311140101 is a deficient number, since it is larger than the sum of its proper divisors (1).

114343311140101 is an equidigital number, since it uses as much as digits as its factorization.

114343311140101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 114343311140101 its reverse (101041113343411), we get a palindrome (215384424483512).

The spelling of 114343311140101 in words is "one hundred fourteen trillion, three hundred forty-three billion, three hundred eleven million, one hundred forty thousand, one hundred one".