100113103201 has 2 divisors, whose sum is σ = 100113103202. Its totient is φ = 100113103200.

The previous prime is 100113103151. The next prime is 100113103231. The reversal of 100113103201 is 102301311001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83970130176 + 16142973025 = 289776^2 + 127055^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113103201 - 2¹⁹ = 100112578913 is a prime.

It is not a weakly prime, because it can be changed into another prime (100113103231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056551600 + 50056551601.

It is an arithmetic number, because the mean of its divisors is an integer number (50056551601).

Almost surely, 2^100113103201 is an apocalyptic number.

It is an amenable number.

100113103201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113103201 is an equidigital number, since it uses as much as digits as its factorization.

100113103201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100113103201 its reverse (102301311001), we get a palindrome (202414414202).

The spelling of 100113103201 in words is "one hundred billion, one hundred thirteen million, one hundred three thousand, two hundred one".