2000102112 has 48 divisors (see below), whose sum is σ = 5833633680. Its totient is φ = 666700416.

The previous prime is 2000102033. The next prime is 2000102119. The reversal of 2000102112 is 2112010002.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 2000102094 and 2000102103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000102119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1156603 + ... + 1158330.

It is an arithmetic number, because the mean of its divisors is an integer number (121534035).

Almost surely, 2^2000102112 is an apocalyptic number.

It is an amenable number.

2000102112 is an abundant number, since it is smaller than the sum of its proper divisors (3833531568).

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

2000102112 is a wasteful number, since it uses less digits than its factorization.

2000102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314952 (or 2314938 counting only the distinct ones).

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

The square root of 2000102112 is about 44722.5011822908. The cubic root of 2000102112 is about 1259.9424917063.

Adding to 2000102112 its reverse (2112010002), we get a palindrome (4112112114).

The spelling of 2000102112 in words is "two billion, one hundred two thousand, one hundred twelve".