2000040101 has 2 divisors, whose sum is σ = 2000040102. Its totient is φ = 2000040100.

The previous prime is 2000040061. The next prime is 2000040103. The reversal of 2000040101 is 1010400002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1998537025 + 1503076 = 44705^2 + 1226^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000040101 - 2¹⁰ = 2000039077 is a prime.

Together with 2000040103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000040103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000020050 + 1000020051.

It is an arithmetic number, because the mean of its divisors is an integer number (1000020051).

Almost surely, 2^2000040101 is an apocalyptic number.

It is an amenable number.

2000040101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000040101 is an equidigital number, since it uses as much as digits as its factorization.

2000040101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2000040101 is about 44721.8078905583. The cubic root of 2000040101 is about 1259.9294705209.

Adding to 2000040101 its reverse (1010400002), we get a palindrome (3010440103).

The spelling of 2000040101 in words is "two billion, forty thousand, one hundred one".