2102102100 has 108 divisors (see below), whose sum is σ = 7530219424. Its totient is φ = 480479040.

The previous prime is 2102102081. The next prime is 2102102113. The reversal of 2102102100 is 12012012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160534 + ... + 173133.

Almost surely, 2^2102102100 is an apocalyptic number.

2102102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102102100 is an abundant number, since it is smaller than the sum of its proper divisors (5428117324).

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

2102102100 is a wasteful number, since it uses less digits than its factorization.

2102102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333694 (or 333684 counting only the distinct ones).

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

The square root of 2102102100 is about 45848.6870041008. The cubic root of 2102102100 is about 1281.0063090768.

Adding to 2102102100 its reverse (12012012), we get a palindrome (2114114112).

The spelling of 2102102100 in words is "two billion, one hundred two million, one hundred two thousand, one hundred".