102401311114330 has 32 divisors (see below), whose sum is σ = 189309279373200. Its totient is φ = 39852381358080.

The previous prime is 102401311114327. The next prime is 102401311114357. The reversal of 102401311114330 is 33411113104201.

It can be written as a sum of positive squares in 8 ways, for example, as 97487246314969 + 4914064799361 = 9873563^2 + 2216769^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102401311114295 and 102401311114304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9638346 + ... + 17253994.

Almost surely, 2^{102401311114330} is an apocalyptic number.

102401311114330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102401311114330 is a deficient number, since it is larger than the sum of its proper divisors (86907968258870).

102401311114330 is a wasteful number, since it uses less digits than its factorization.

102401311114330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7652034.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 102401311114330 its reverse (33411113104201), we get a palindrome (135812424218531).

The spelling of 102401311114330 in words is "one hundred two trillion, four hundred one billion, three hundred eleven million, one hundred fourteen thousand, three hundred thirty".