2101102000 has 80 divisors (see below), whose sum is σ = 5109717600. Its totient is φ = 835603200.

The previous prime is 2101101979. The next prime is 2101102013. The reversal of 2101102000 is 2011012.

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

It is a super-2 number, since 2×2101102000² = 8829259228808000000, which contains 22 as substring.

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, 355066 + ... + 360934.

It is an arithmetic number, because the mean of its divisors is an integer number (63871470).

Almost surely, 2^2101102000 is an apocalyptic number.

2101102000 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 2101102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554858800).

2101102000 is an abundant number, since it is smaller than the sum of its proper divisors (3008615600).

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

2101102000 is a wasteful number, since it uses less digits than its factorization.

2101102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6071 (or 6055 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2101102000 is about 45837.7791783153. The cubic root of 2101102000 is about 1280.8031255373.

Adding to 2101102000 its reverse (2011012), we get a palindrome (2103113012).

The spelling of 2101102000 in words is "two billion, one hundred one million, one hundred two thousand".