2100102112 has 48 divisors (see below), whose sum is σ = 4245983280. Its totient is φ = 1021934592.

The previous prime is 2100102107. The next prime is 2100102119. The reversal of 2100102112 is 2112010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100102119) 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, 400564 + ... + 405772.

It is an arithmetic number, because the mean of its divisors is an integer number (88457985).

Almost surely, 2^2100102112 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 2100102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122991640).

2100102112 is an abundant number, since it is smaller than the sum of its proper divisors (2145881168).

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

2100102112 is a wasteful number, since it uses less digits than its factorization.

2100102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5547 counting only the distinct ones).

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

The square root of 2100102112 is about 45826.8710692755. The cubic root of 2100102112 is about 1280.5999206034.

Adding to 2100102112 its reverse (2112010012), we get a palindrome (4212112124).

The spelling of 2100102112 in words is "two billion, one hundred million, one hundred two thousand, one hundred twelve".