2122101100201 has 2 divisors, whose sum is σ = 2122101100202. Its totient is φ = 2122101100200.

The previous prime is 2122101100181. The next prime is 2122101100213. The reversal of 2122101100201 is 1020011012212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2112080890000 + 10020210201 = 1453300^2 + 100101^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122101100201 - 2¹¹ = 2122101098153 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122101190201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061050550100 + 1061050550101.

It is an arithmetic number, because the mean of its divisors is an integer number (1061050550101).

Almost surely, 2^{2122101100201} is an apocalyptic number.

It is an amenable number.

2122101100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122101100201 is an equidigital number, since it uses as much as digits as its factorization.

2122101100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2122101100201 its reverse (1020011012212), we get a palindrome (3142112112413).

The spelling of 2122101100201 in words is "two trillion, one hundred twenty-two billion, one hundred one million, one hundred thousand, two hundred one".