20000100010061 has 2 divisors, whose sum is σ = 20000100010062. Its totient is φ = 20000100010060.

The previous prime is 20000100009983. The next prime is 20000100010069. The reversal of 20000100010061 is 16001000100002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14557239006025 + 5442861004036 = 3815395^2 + 2332994^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000100010061 - 2¹⁸ = 20000099747917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20000100010069) 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, 10000050005030 + 10000050005031.

It is an arithmetic number, because the mean of its divisors is an integer number (10000050005031).

Almost surely, 2^{20000100010061} is an apocalyptic number.

It is an amenable number.

20000100010061 is a deficient number, since it is larger than the sum of its proper divisors (1).

20000100010061 is an equidigital number, since it uses as much as digits as its factorization.

20000100010061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 20000100010061 its reverse (16001000100002), we get a palindrome (36001100110063).

The spelling of 20000100010061 in words is "twenty trillion, one hundred million, ten thousand, sixty-one".