1002100112 has 20 divisors (see below), whose sum is σ = 2090920860. Its totient is φ = 462507648.

The previous prime is 1002100091. The next prime is 1002100117. The reversal of 1002100112 is 2110012001.

It can be written as a sum of positive squares in 2 ways, for example, as 326308096 + 675792016 = 18064^2 + 25996^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1002100112.

It is not an unprimeable number, because it can be changed into a prime (1002100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2408687 + ... + 2409102.

It is an arithmetic number, because the mean of its divisors is an integer number (104546043).

Almost surely, 2^1002100112 is an apocalyptic number.

It is an amenable number.

1002100112 is an abundant number, since it is smaller than the sum of its proper divisors (1088820748).

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

1002100112 is a wasteful number, since it uses less digits than its factorization.

1002100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817810 (or 4817804 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1002100112 is about 31655.9648723586. The cubic root of 1002100112 is about 1000.6995478520.

Adding to 1002100112 its reverse (2110012001), we get a palindrome (3112112113).

The spelling of 1002100112 in words is "one billion, two million, one hundred thousand, one hundred twelve".