102432000234201 has 48 divisors (see below), whose sum is σ = 156467831869440. Its totient is φ = 59494142901600.

The previous prime is 102432000234191. The next prime is 102432000234257.

It is a happy number.

102432000234201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102432000234201 - 2¹⁰ = 102432000233177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102432000254201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43028511 + ... + 45346628.

It is an arithmetic number, because the mean of its divisors is an integer number (3259746497280).

Almost surely, 2^{102432000234201} is an apocalyptic number.

102432000234201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102432000234201 is a deficient number, since it is larger than the sum of its proper divisors (54035831635239).

102432000234201 is a wasteful number, since it uses less digits than its factorization.

102432000234201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88375298 (or 88375287 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 102432000 and 234201, that added together give a palindrome (102666201).

The spelling of 102432000234201 in words is "one hundred two trillion, four hundred thirty-two billion, two hundred thirty-four thousand, two hundred one".