2133102100 has 18 divisors (see below), whose sum is σ = 4628831774. Its totient is φ = 853240800.

The previous prime is 2133102091. The next prime is 2133102109. The reversal of 2133102100 is 12013312.

It is an interprime number because it is at equal distance from previous prime (2133102091) and next prime (2133102109).

It can be written as a sum of positive squares in 3 ways, for example, as 678289936 + 1454812164 = 26044^2 + 38142^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133102109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10665411 + ... + 10665610.

Almost surely, 2^2133102100 is an apocalyptic number.

2133102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133102100 is an abundant number, since it is smaller than the sum of its proper divisors (2495729674).

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

2133102100 is a wasteful number, since it uses less digits than its factorization.

2133102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21331035 (or 21331028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2133102100 is about 46185.5182930754. The cubic root of 2133102100 is about 1287.2726666835.

Adding to 2133102100 its reverse (12013312), we get a palindrome (2145115412).

The spelling of 2133102100 in words is "two billion, one hundred thirty-three million, one hundred two thousand, one hundred".