2000101000 has 128 divisors (see below), whose sum is σ = 5127688800. Its totient is φ = 726835200.

The previous prime is 2000100979. The next prime is 2000101021. The reversal of 2000101000 is 1010002.

It is an interprime number because it is at equal distance from previous prime (2000100979) and next prime (2000101021).

It can be written as a sum of positive squares in 16 ways, for example, as 4334724 + 1995766276 = 2082^2 + 44674^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490972 + ... + 495028.

Almost surely, 2^2000101000 is an apocalyptic number.

2000101000 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 2000101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563844400).

2000101000 is an abundant number, since it is smaller than the sum of its proper divisors (3127587800).

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

2000101000 is a wasteful number, since it uses less digits than its factorization.

2000101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 2000101000 is about 44722.4887500685. The cubic root of 2000101000 is about 1259.9422582089.

Adding to 2000101000 its reverse (1010002), we get a palindrome (2001111002).

The spelling of 2000101000 in words is "two billion, one hundred one thousand".