2000031101 has 2 divisors, whose sum is σ = 2000031102. Its totient is φ = 2000031100.

The previous prime is 2000031083. The next prime is 2000031119. The reversal of 2000031101 is 1011300002.

It is a balanced prime because it is at equal distance from previous prime (2000031083) and next prime (2000031119).

It can be written as a sum of positive squares in only one way, i.e., 1149142201 + 850888900 = 33899^2 + 29170^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000031101 - 2⁶ = 2000031037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000031601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000015550 + 1000015551.

It is an arithmetic number, because the mean of its divisors is an integer number (1000015551).

Almost surely, 2^2000031101 is an apocalyptic number.

It is an amenable number.

2000031101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000031101 is an equidigital number, since it uses as much as digits as its factorization.

2000031101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2000031101 is about 44721.7072683948. The cubic root of 2000031101 is about 1259.9275806618.

Adding to 2000031101 its reverse (1011300002), we get a palindrome (3011331103).

The spelling of 2000031101 in words is "two billion, thirty-one thousand, one hundred one".