2120102100 has 216 divisors, whose sum is σ = 7055208160. Its totient is φ = 551940480.

The previous prime is 2120102081. The next prime is 2120102107. The reversal of 2120102100 is 12010212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120102107) 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 71 ways as a sum of consecutive naturals, for example, 1043886 + ... + 1045914.

Almost surely, 2^2120102100 is an apocalyptic number.

2120102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527604080).

2120102100 is an abundant number, since it is smaller than the sum of its proper divisors (4935106060).

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

2120102100 is a wasteful number, since it uses less digits than its factorization.

2120102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2082 counting only the distinct ones).

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

The square root of 2120102100 is about 46044.5664546861. The cubic root of 2120102100 is about 1284.6522801632.

Adding to 2120102100 its reverse (12010212), we get a palindrome (2132112312).

The spelling of 2120102100 in words is "two billion, one hundred twenty million, one hundred two thousand, one hundred".