102100000014 has 16 divisors (see below), whose sum is σ = 226888889040. Its totient is φ = 34033333320.

The previous prime is 102099999961. The next prime is 102100000021. The reversal of 102100000014 is 410000001201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102099999951 and 102100000005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 945370317 + ... + 945370424.

It is an arithmetic number, because the mean of its divisors is an integer number (14180555565).

Almost surely, 2^102100000014 is an apocalyptic number.

102100000014 is an abundant number, since it is smaller than the sum of its proper divisors (124788889026).

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

102100000014 is a wasteful number, since it uses less digits than its factorization.

102100000014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890740752 (or 1890740746 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102100000014 its reverse (410000001201), we get a palindrome (512100001215).

The spelling of 102100000014 in words is "one hundred two billion, one hundred million, fourteen", and thus it is an aban number.