2101114201201 has 2 divisors, whose sum is σ = 2101114201202. Its totient is φ = 2101114201200.

The previous prime is 2101114201139. The next prime is 2101114201261. The reversal of 2101114201201 is 1021024111012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2098673742400 + 2440458801 = 1448680^2 + 49401^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101114201201 - 2¹⁹ = 2101113676913 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101114201261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050557100600 + 1050557100601.

It is an arithmetic number, because the mean of its divisors is an integer number (1050557100601).

Almost surely, 2^{2101114201201} is an apocalyptic number.

It is an amenable number.

2101114201201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101114201201 is an equidigital number, since it uses as much as digits as its factorization.

2101114201201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2101114201201 its reverse (1021024111012), we get a palindrome (3122138312213).

The spelling of 2101114201201 in words is "two trillion, one hundred one billion, one hundred fourteen million, two hundred one thousand, two hundred one".