102010002112 has 112 divisors (see below), whose sum is σ = 209618519040. Its totient is φ = 49223116800.

The previous prime is 102010002089. The next prime is 102010002131. The reversal of 102010002112 is 211200010201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118753939 + ... + 118754797.

It is an arithmetic number, because the mean of its divisors is an integer number (1871593920).

Almost surely, 2^102010002112 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 102010002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104809259520).

102010002112 is an abundant number, since it is smaller than the sum of its proper divisors (107608516928).

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

102010002112 is a wasteful number, since it uses less digits than its factorization.

102010002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1340 counting only the distinct ones).

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

Adding to 102010002112 its reverse (211200010201), we get a palindrome (313210012313).

The spelling of 102010002112 in words is "one hundred two billion, ten million, two thousand, one hundred twelve".