102114410040314 has 16 divisors (see below), whose sum is σ = 175192315905600. Its totient is φ = 43728558201024.

The previous prime is 102114410040241. The next prime is 102114410040323. The reversal of 102114410040314 is 413040014411201.

It is a happy number.

It is a super-3 number, since 3×102114410040314³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2896680719 + ... + 2896715970.

It is an arithmetic number, because the mean of its divisors is an integer number (10949519744100).

Almost surely, 2^{102114410040314} is an apocalyptic number.

102114410040314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102114410040314 is a deficient number, since it is larger than the sum of its proper divisors (73077905865286).

102114410040314 is a wasteful number, since it uses less digits than its factorization.

102114410040314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5793397957.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 102114410040314 its reverse (413040014411201), we get a palindrome (515154424451515).

The spelling of 102114410040314 in words is "one hundred two trillion, one hundred fourteen billion, four hundred ten million, forty thousand, three hundred fourteen".