2101334000 has 80 divisors (see below), whose sum is σ = 5101090176. Its totient is φ = 837216000.

The previous prime is 2101333979. The next prime is 2101334021. The reversal of 2101334000 is 4331012.

It is an interprime number because it is at equal distance from previous prime (2101333979) and next prime (2101334021).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540062 + ... + 543938.

Almost surely, 2^2101334000 is an apocalyptic number.

2101334000 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 2101334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550545088).

2101334000 is an abundant number, since it is smaller than the sum of its proper divisors (2999756176).

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

2101334000 is a wasteful number, since it uses less digits than its factorization.

2101334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2101334000 is about 45840.3097720772. The cubic root of 2101334000 is about 1280.8502651477.

Adding to 2101334000 its reverse (4331012), we get a palindrome (2105665012).

The spelling of 2101334000 in words is "two billion, one hundred one million, three hundred thirty-four thousand".