2102112100 has 36 divisors (see below), whose sum is σ = 4976275248. Its totient is φ = 764404000.

The previous prime is 2102112037. The next prime is 2102112113. The reversal of 2102112100 is 12112012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 954406 + ... + 956605.

It is an arithmetic number, because the mean of its divisors is an integer number (138229868).

Almost surely, 2^2102112100 is an apocalyptic number.

2102112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102112100 is an abundant number, since it is smaller than the sum of its proper divisors (2874163148).

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

2102112100 is a wasteful number, since it uses less digits than its factorization.

2102112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911036 (or 1911029 counting only the distinct ones).

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

The square root of 2102112100 is about 45848.7960583481. The cubic root of 2102112100 is about 1281.0083403836.

Adding to 2102112100 its reverse (12112012), we get a palindrome (2114224112).

The spelling of 2102112100 in words is "two billion, one hundred two million, one hundred twelve thousand, one hundred".