102314114402401 has 8 divisors (see below), whose sum is σ = 111621119576544. Its totient is φ = 93008062902720.

The previous prime is 102314114402341. The next prime is 102314114402431. The reversal of 102314114402401 is 104204411413201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102314114402401 - 2¹⁵ = 102314114369633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102314114402401.

It is not an unprimeable number, because it can be changed into a prime (102314114402431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238194280 + ... + 238623433.

It is an arithmetic number, because the mean of its divisors is an integer number (13952639947068).

Almost surely, 2^{102314114402401} is an apocalyptic number.

102314114402401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102314114402401 is a deficient number, since it is larger than the sum of its proper divisors (9307005174143).

102314114402401 is a wasteful number, since it uses less digits than its factorization.

102314114402401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476837231.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 102314114402401 its reverse (104204411413201), we get a palindrome (206518525815602).

The spelling of 102314114402401 in words is "one hundred two trillion, three hundred fourteen billion, one hundred fourteen million, four hundred two thousand, four hundred one".