102334141433201 has 2 divisors, whose sum is σ = 102334141433202. Its totient is φ = 102334141433200.

The previous prime is 102334141433197. The next prime is 102334141433219.

102334141433201 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93957660966976 + 8376480466225 = 9693176^2 + 2894215^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 102334141433201 - 2² = 102334141433197 is a prime.

It is not a weakly prime, because it can be changed into another prime (102334141433401) 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 as a sum of consecutive naturals, namely, 51167070716600 + 51167070716601.

It is an arithmetic number, because the mean of its divisors is an integer number (51167070716601).

Almost surely, 2^{102334141433201} is an apocalyptic number.

It is an amenable number.

102334141433201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102334141433201 is an equidigital number, since it uses as much as digits as its factorization.

102334141433201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 102334141433201 in words is "one hundred two trillion, three hundred thirty-four billion, one hundred forty-one million, four hundred thirty-three thousand, two hundred one".