100200200010101 has 2 divisors, whose sum is σ = 100200200010102. Its totient is φ = 100200200010100.

The previous prime is 100200200009983. The next prime is 100200200010149. The reversal of 100200200010101 is 101010002002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92859703867876 + 7340496142225 = 9636374^2 + 2709335^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200200010101 - 2¹⁸ = 100200199747957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100200200016101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100100005050 + 50100100005051.

It is an arithmetic number, because the mean of its divisors is an integer number (50100100005051).

Almost surely, 2^{100200200010101} is an apocalyptic number.

It is an amenable number.

100200200010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200200010101 is an equidigital number, since it uses as much as digits as its factorization.

100200200010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100200200010101 its reverse (101010002002001), we get a palindrome (201210202012102).

The spelling of 100200200010101 in words is "one hundred trillion, two hundred billion, two hundred million, ten thousand, one hundred one".