114343011002121 has 288 divisors, whose sum is σ = 192639250387584. Its totient is φ = 60003832627200.

The previous prime is 114343011002071. The next prime is 114343011002153. The reversal of 114343011002121 is 121200110343411.

It is not a de Polignac number, because 114343011002121 - 2²³ = 114343002613513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114343011002091 and 114343011002100.

It is not an unprimeable number, because it can be changed into a prime (114343011002161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9149630545 + ... + 9149643041.

It is an arithmetic number, because the mean of its divisors is an integer number (668886286068).

Almost surely, 2^{114343011002121} is an apocalyptic number.

114343011002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114343011002121 is a deficient number, since it is larger than the sum of its proper divisors (78296239385463).

114343011002121 is a wasteful number, since it uses less digits than its factorization.

114343011002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12681 (or 12641 counting only the distinct ones).

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

Adding to 114343011002121 its reverse (121200110343411), we get a palindrome (235543121345532).

The spelling of 114343011002121 in words is "one hundred fourteen trillion, three hundred forty-three billion, eleven million, two thousand, one hundred twenty-one".