102102202200012 has 96 divisors (see below), whose sum is σ = 273319346442240. Its totient is φ = 29060071529280.

The previous prime is 102102202199983. The next prime is 102102202200013. The reversal of 102102202200012 is 210002202201201.

It is a junction number, because it is equal to n+sod(n) for n = 102102202199964 and 102102202200000.

It is not an unprimeable number, because it can be changed into a prime (102102202200013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26770087 + ... + 30345377.

It is an arithmetic number, because the mean of its divisors is an integer number (2847076525440).

Almost surely, 2^{102102202200012} is an apocalyptic number.

102102202200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102102202200012 is an abundant number, since it is smaller than the sum of its proper divisors (171217144242228).

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

102102202200012 is a wasteful number, since it uses less digits than its factorization.

102102202200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576611 (or 3576609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102102202200012 its reverse (210002202201201), we get a palindrome (312104404401213).

The spelling of 102102202200012 in words is "one hundred two trillion, one hundred two billion, two hundred two million, two hundred thousand, twelve".