102814810100208 has 60 divisors (see below), whose sum is σ = 287742288290080. Its totient is φ = 34271172396288.

The previous prime is 102814810100161. The next prime is 102814810100267. The reversal of 102814810100208 is 802001018418201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7105260 + ... + 16003572.

Almost surely, 2^{102814810100208} is an apocalyptic number.

102814810100208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102814810100208 is an abundant number, since it is smaller than the sum of its proper divisors (184927478189872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102814810100208 is a wasteful number, since it uses less digits than its factorization.

102814810100208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8978566 (or 8978557 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

Adding to 102814810100208 its reverse (802001018418201), we get a palindrome (904815828518409).

The spelling of 102814810100208 in words is "one hundred two trillion, eight hundred fourteen billion, eight hundred ten million, one hundred thousand, two hundred eight".