2110201020101 has 2 divisors, whose sum is σ = 2110201020102. Its totient is φ = 2110201020100.

The previous prime is 2110201020091. The next prime is 2110201020113. The reversal of 2110201020101 is 1010201020112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2109608097601 + 592922500 = 1452449^2 + 24350^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110201020101 - 2¹⁰ = 2110201019077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2110201020121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055100510050 + 1055100510051.

It is an arithmetic number, because the mean of its divisors is an integer number (1055100510051).

Almost surely, 2^{2110201020101} is an apocalyptic number.

It is an amenable number.

2110201020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110201020101 is an equidigital number, since it uses as much as digits as its factorization.

2110201020101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2110201020101 its sum of digits (11), we get a palindrome (2110201020112).

Adding to 2110201020101 its reverse (1010201020112), we get a palindrome (3120402040213).

The spelling of 2110201020101 in words is "two trillion, one hundred ten billion, two hundred one million, twenty thousand, one hundred one".