200100000101 has 2 divisors, whose sum is σ = 200100000102. Its totient is φ = 200100000100.

The previous prime is 200100000091. The next prime is 200100000143. The reversal of 200100000101 is 101000001002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138198062500 + 61901937601 = 371750^2 + 248801^2 .

It is a cyclic number.

It is not a de Polignac number, because 200100000101 - 2¹⁴ = 200099983717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200100000151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100050000050 + 100050000051.

It is an arithmetic number, because the mean of its divisors is an integer number (100050000051).

Almost surely, 2^200100000101 is an apocalyptic number.

It is an amenable number.

200100000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200100000101 is an equidigital number, since it uses as much as digits as its factorization.

200100000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 200100000101 its reverse (101000001002), we get a palindrome (301100001103).

Subtracting from 200100000101 its reverse (101000001002), we obtain a palindrome (99099999099).

The spelling of 200100000101 in words is "two hundred billion, one hundred million, one hundred one", and thus it is an aban number.