102161017000 has 64 divisors (see below), whose sum is σ = 273207767040. Its totient is φ = 35026632000.

The previous prime is 102161016983. The next prime is 102161017087. The reversal of 102161017000 is 710161201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7290216 + ... + 7304215.

It is an arithmetic number, because the mean of its divisors is an integer number (4268871360).

Almost surely, 2^102161017000 is an apocalyptic number.

102161017000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102161017000 is an abundant number, since it is smaller than the sum of its proper divisors (171046750040).

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

102161017000 is a wasteful number, since it uses less digits than its factorization.

102161017000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14594459 (or 14594445 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 102161017000 its reverse (710161201), we get a palindrome (102871178201).

The spelling of 102161017000 in words is "one hundred two billion, one hundred sixty-one million, seventeen thousand".