2102002100 has 36 divisors (see below), whose sum is σ = 4976014848. Its totient is φ = 764364000.

The previous prime is 2102002093. The next prime is 2102002109. The reversal of 2102002100 is 12002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102002109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 954356 + ... + 956555.

Almost surely, 2^2102002100 is an apocalyptic number.

2102002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102002100 is an abundant number, since it is smaller than the sum of its proper divisors (2874012748).

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

2102002100 is a wasteful number, since it uses less digits than its factorization.

2102002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910936 (or 1910929 counting only the distinct ones).

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

The square root of 2102002100 is about 45847.5964473602. The cubic root of 2102002100 is about 1280.9859956546.

Adding to 2102002100 its reverse (12002012), we get a palindrome (2114004112).

The spelling of 2102002100 in words is "two billion, one hundred two million, two thousand, one hundred".