102454262454201 has 16 divisors (see below), whose sum is σ = 161504256086400. Its totient is φ = 56526489629568.

The previous prime is 102454262454199. The next prime is 102454262454239.

102454262454201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102454262454201 - 2¹ = 102454262454199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102454262458201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84116799436 + ... + 84116800653.

It is an arithmetic number, because the mean of its divisors is an integer number (10094016005400).

Almost surely, 2^{102454262454201} is an apocalyptic number.

It is an amenable number.

102454262454201 is a deficient number, since it is larger than the sum of its proper divisors (59049993632199).

102454262454201 is a wasteful number, since it uses less digits than its factorization.

102454262454201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168233600128.

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 102454262454201 in words is "one hundred two trillion, four hundred fifty-four billion, two hundred sixty-two million, four hundred fifty-four thousand, two hundred one".