2010100361 has 2 divisors, whose sum is σ = 2010100362. Its totient is φ = 2010100360.

The previous prime is 2010100331. The next prime is 2010100363. The reversal of 2010100361 is 1630010102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1845132025 + 164968336 = 42955^2 + 12844^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010100361 - 2⁶ = 2010100297 is a prime.

It is a super-2 number, since 2×2010100361² = 8081006922584660642, which contains 22 as substring.

Together with 2010100363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2010100363) 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, 1005050180 + 1005050181.

It is an arithmetic number, because the mean of its divisors is an integer number (1005050181).

Almost surely, 2^2010100361 is an apocalyptic number.

It is an amenable number.

2010100361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010100361 is an equidigital number, since it uses as much as digits as its factorization.

2010100361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2010100361 is about 44834.1428043405. The cubic root of 2010100361 is about 1262.0384324029.

Adding to 2010100361 its reverse (1630010102), we get a palindrome (3640110463).

The spelling of 2010100361 in words is "two billion, ten million, one hundred thousand, three hundred sixty-one".