2100133420 has 192 divisors, whose sum is σ = 5889106944. Its totient is φ = 608993280.

The previous prime is 2100133361. The next prime is 2100133439. The reversal of 2100133420 is 243310012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2100133394 and 2100133403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2539047 + ... + 2539873.

It is an arithmetic number, because the mean of its divisors is an integer number (30672432).

Almost surely, 2^2100133420 is an apocalyptic number.

2100133420 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 2100133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944553472).

2100133420 is an abundant number, since it is smaller than the sum of its proper divisors (3788973524).

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

2100133420 is a wasteful number, since it uses less digits than its factorization.

2100133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2100133420 is about 45827.2126579830. The cubic root of 2100133420 is about 1280.6062842342.

Adding to 2100133420 its reverse (243310012), we get a palindrome (2343443432).

The spelling of 2100133420 in words is "two billion, one hundred million, one hundred thirty-three thousand, four hundred twenty".