102001002112 has 32 divisors (see below), whose sum is σ = 205217079300. Its totient is φ = 50495539200.

The previous prime is 102001002107. The next prime is 102001002157. The reversal of 102001002112 is 211200100201.

It can be written as a sum of positive squares in 2 ways, for example, as 66304190016 + 35696812096 = 257496^2 + 188936^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3932037 + ... + 3957892.

Almost surely, 2^102001002112 is an apocalyptic number.

It is an amenable number.

102001002112 is an abundant number, since it is smaller than the sum of its proper divisors (103216077188).

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

102001002112 is an equidigital number, since it uses as much as digits as its factorization.

102001002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7890044 (or 7890032 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102001002112 its reverse (211200100201), we get a palindrome (313201102313).

The spelling of 102001002112 in words is "one hundred two billion, one million, two thousand, one hundred twelve".