2000110101 has 16 divisors (see below), whose sum is σ = 2912122368. Its totient is φ = 1210991600.

The previous prime is 2000110067. The next prime is 2000110117. The reversal of 2000110101 is 1010110002.

It is a cyclic number.

It is not a de Polignac number, because 2000110101 - 2⁶ = 2000110037 is a prime.

It is a super-2 number, since 2×2000110101² = 8000880832244460402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2000110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000110181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4630 + ... + 63416.

It is an arithmetic number, because the mean of its divisors is an integer number (182007648).

Almost surely, 2^2000110101 is an apocalyptic number.

It is an amenable number.

2000110101 is a deficient number, since it is larger than the sum of its proper divisors (912012267).

2000110101 is a wasteful number, since it uses less digits than its factorization.

2000110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59832.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2000110101 is about 44722.5904996569. The cubic root of 2000110101 is about 1259.9441692319.

Adding to 2000110101 its reverse (1010110002), we get a palindrome (3010220103).

Subtracting from 2000110101 its reverse (1010110002), we obtain a palindrome (990000099).

It can be divided in two parts, 2000 and 110101, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 2000110101 in words is "two billion, one hundred ten thousand, one hundred one".