2102010000 has 100 divisors (see below), whose sum is σ = 6785665392. Its totient is φ = 560528000.

The previous prime is 2102009993. The next prime is 2102010023. The reversal of 2102010000 is 102012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5034 + ... + 65033.

Almost surely, 2^2102010000 is an apocalyptic number.

2102010000 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 2102010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392832696).

2102010000 is an abundant number, since it is smaller than the sum of its proper divisors (4683655392).

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

2102010000 is an equidigital number, since it uses as much as digits as its factorization.

2102010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70098 (or 70077 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2102010000 is about 45847.6826022865. The cubic root of 2102010000 is about 1280.9876004384.

Adding to 2102010000 its reverse (102012), we get a palindrome (2102112012).

The spelling of 2102010000 in words is "two billion, one hundred two million, ten thousand".