201102012002161 has 2 divisors, whose sum is σ = 201102012002162. Its totient is φ = 201102012002160.

The previous prime is 201102012002153. The next prime is 201102012002189. The reversal of 201102012002161 is 161200210201102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159375980336400 + 41726031665761 = 12624420^2 + 6459569^2 .

It is a cyclic number.

It is not a de Polignac number, because 201102012002161 - 2³ = 201102012002153 is a prime.

It is not a weakly prime, because it can be changed into another prime (201102012002461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100551006001080 + 100551006001081.

It is an arithmetic number, because the mean of its divisors is an integer number (100551006001081).

Almost surely, 2^{201102012002161} is an apocalyptic number.

It is an amenable number.

201102012002161 is a deficient number, since it is larger than the sum of its proper divisors (1).

201102012002161 is an equidigital number, since it uses as much as digits as its factorization.

201102012002161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 201102012002161 its reverse (161200210201102), we get a palindrome (362302222203263).

The spelling of 201102012002161 in words is "two hundred one trillion, one hundred two billion, twelve million, two thousand, one hundred sixty-one".