100201110101 has 2 divisors, whose sum is σ = 100201110102. Its totient is φ = 100201110100.

The previous prime is 100201110047. The next prime is 100201110151. The reversal of 100201110101 is 101011102001.

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., 97600008100 + 2601102001 = 312410^2 + 51001^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201110101 - 2¹⁴ = 100201093717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201110151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100555050 + 50100555051.

It is an arithmetic number, because the mean of its divisors is an integer number (50100555051).

Almost surely, 2^100201110101 is an apocalyptic number.

It is an amenable number.

100201110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201110101 is an equidigital number, since it uses as much as digits as its factorization.

100201110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100201110101 its reverse (101011102001), we get a palindrome (201212212102).

The spelling of 100201110101 in words is "one hundred billion, two hundred one million, one hundred ten thousand, one hundred one".