100201100101 has 2 divisors, whose sum is σ = 100201100102. Its totient is φ = 100201100100.

The previous prime is 100201100047. The next prime is 100201100107. The reversal of 100201100101 is 101001102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53393344900 + 46807755201 = 231070^2 + 216351^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201100101 - 2⁹ = 100201099589 is a prime.

It is a super-2 number, since 2×100201100101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201100107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100550050 + 50100550051.

It is an arithmetic number, because the mean of its divisors is an integer number (50100550051).

Almost surely, 2^100201100101 is an apocalyptic number.

It is an amenable number.

100201100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201100101 is an equidigital number, since it uses as much as digits as its factorization.

100201100101 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 7.

Adding to 100201100101 its reverse (101001102001), we get a palindrome (201202202102).

The spelling of 100201100101 in words is "one hundred billion, two hundred one million, one hundred thousand, one hundred one".