2102133000 has 192 divisors, whose sum is σ = 7210344960. Its totient is φ = 509520000.

The previous prime is 2102132983. The next prime is 2102133037. The reversal of 2102133000 is 3312012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360105 + ... + 365895.

It is an arithmetic number, because the mean of its divisors is an integer number (37553880).

Almost surely, 2^2102133000 is an apocalyptic number.

2102133000 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 2102133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605172480).

2102133000 is an abundant number, since it is smaller than the sum of its proper divisors (5108211960).

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

2102133000 is a wasteful number, since it uses less digits than its factorization.

2102133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2102133000 is about 45849.0239808875. The cubic root of 2102133000 is about 1281.0125857940.

Adding to 2102133000 its reverse (3312012), we get a palindrome (2105445012).

The spelling of 2102133000 in words is "two billion, one hundred two million, one hundred thirty-three thousand".