102002202112 has 80 divisors (see below), whose sum is σ = 215960865120. Its totient is φ = 47963865088.

The previous prime is 102002202091. The next prime is 102002202143. The reversal of 102002202112 is 211202200201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102002202092 and 102002202101.

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, 13565778 + ... + 13573294.

It is an arithmetic number, because the mean of its divisors is an integer number (2699510814).

Almost surely, 2^102002202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107980432560).

102002202112 is an abundant number, since it is smaller than the sum of its proper divisors (113958663008).

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

102002202112 is an equidigital number, since it uses as much as digits as its factorization.

102002202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9111 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102002202112 its reverse (211202200201), we get a palindrome (313204402313).

The spelling of 102002202112 in words is "one hundred two billion, two million, two hundred two thousand, one hundred twelve".