102234282432201 has 48 divisors (see below), whose sum is σ = 154598558774400. Its totient is φ = 65016779460864.

The previous prime is 102234282432199. The next prime is 102234282432203.

102234282432201 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 428 + 2 + 4 + 3 + 220 + 1 = 666.

102234282432201 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (102234282432199) and next prime (102234282432203).

It is not a de Polignac number, because 102234282432201 - 2¹ = 102234282432199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102234282432203) 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, 28676620 + ... + 32043986.

It is an arithmetic number, because the mean of its divisors is an integer number (3220803307800).

Almost surely, 2^{102234282432201} is an apocalyptic number.

It is an amenable number.

102234282432201 is a deficient number, since it is larger than the sum of its proper divisors (52364276342199).

102234282432201 is a wasteful number, since it uses less digits than its factorization.

102234282432201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368798 (or 3368795 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 102234282432201 in words is "one hundred two trillion, two hundred thirty-four billion, two hundred eighty-two million, four hundred thirty-two thousand, two hundred one".