102334606433201 has 16 divisors (see below), whose sum is σ = 107507666880000. Its totient is φ = 97221943080768.

The previous prime is 102334606433197. The next prime is 102334606433207.

102334606433201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102334606433201 - 2² = 102334606433197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102334606433207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51628280 + ... + 53573766.

It is an arithmetic number, because the mean of its divisors is an integer number (6719229180000).

Almost surely, 2^{102334606433201} is an apocalyptic number.

It is an amenable number.

102334606433201 is a deficient number, since it is larger than the sum of its proper divisors (5173060446799).

102334606433201 is a wasteful number, since it uses less digits than its factorization.

102334606433201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961008.

The product of its (nonzero) digits is 186624, while the sum is 38.

It can be divided in two parts, 10233460 and 6433201, that added together give a palindrome (16666661).

The spelling of 102334606433201 in words is "one hundred two trillion, three hundred thirty-four billion, six hundred six million, four hundred thirty-three thousand, two hundred one".