114302143505121 has 96 divisors (see below), whose sum is σ = 181079096140800. Its totient is φ = 63573310944000.

The previous prime is 114302143505113. The next prime is 114302143505171. The reversal of 114302143505121 is 121505341203411.

It is not a de Polignac number, because 114302143505121 - 2³ = 114302143505113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (114302143505171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1417203646 + ... + 1417284296.

It is an arithmetic number, because the mean of its divisors is an integer number (1886240584800).

Almost surely, 2^{114302143505121} is an apocalyptic number.

114302143505121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114302143505121 is a deficient number, since it is larger than the sum of its proper divisors (66776952635679).

114302143505121 is a wasteful number, since it uses less digits than its factorization.

114302143505121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82167 (or 82154 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 114302143505121 its reverse (121505341203411), we get a palindrome (235807484708532).

The spelling of 114302143505121 in words is "one hundred fourteen trillion, three hundred two billion, one hundred forty-three million, five hundred five thousand, one hundred twenty-one".