2004030101 has 2 divisors, whose sum is σ = 2004030102. Its totient is φ = 2004030100.

The previous prime is 2004030059. The next prime is 2004030113. The reversal of 2004030101 is 1010304002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1171419076 + 832611025 = 34226^2 + 28855^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004030101 - 2¹⁸ = 2003767957 is a prime.

It is a super-2 number, since 2×2004030101² = 8032273291428140402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2004032101) by changing a digit.

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 as a sum of consecutive naturals, namely, 1002015050 + 1002015051.

It is an arithmetic number, because the mean of its divisors is an integer number (1002015051).

Almost surely, 2^2004030101 is an apocalyptic number.

It is an amenable number.

2004030101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004030101 is an equidigital number, since it uses as much as digits as its factorization.

2004030101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2004030101 is about 44766.3947733118. The cubic root of 2004030101 is about 1260.7667502865.

Adding to 2004030101 its reverse (1010304002), we get a palindrome (3014334103).

The spelling of 2004030101 in words is "two billion, four million, thirty thousand, one hundred one".