102330104332401 has 128 divisors (see below), whose sum is σ = 170438896742400. Its totient is φ = 60150888645120.

The previous prime is 102330104332387. The next prime is 102330104332403. The reversal of 102330104332401 is 104233401033201.

It is a happy number.

102330104332401 is a `hidden beast` number, since 1 + 0 + 2 + 330 + 1 + 0 + 4 + 3 + 324 + 0 + 1 = 666.

It is not a de Polignac number, because 102330104332401 - 2¹⁹ = 102330103808113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102330104332403) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 922477326 + ... + 922588248.

It is an arithmetic number, because the mean of its divisors is an integer number (1331553880800).

Almost surely, 2^{102330104332401} is an apocalyptic number.

102330104332401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102330104332401 is a deficient number, since it is larger than the sum of its proper divisors (68108792409999).

102330104332401 is a wasteful number, since it uses less digits than its factorization.

102330104332401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111668 (or 111662 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102330104332401 its reverse (104233401033201), we get a palindrome (206563505365602).

The spelling of 102330104332401 in words is "one hundred two trillion, three hundred thirty billion, one hundred four million, three hundred thirty-two thousand, four hundred one".