2101201101101 has 2 divisors, whose sum is σ = 2101201101102. Its totient is φ = 2101201101100.

The previous prime is 2101201101079. The next prime is 2101201101119. The reversal of 2101201101101 is 1011011021012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2096851698601 + 4349402500 = 1448051^2 + 65950^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101201101101 - 2³⁰ = 2100127359277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101201101121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050600550550 + 1050600550551.

It is an arithmetic number, because the mean of its divisors is an integer number (1050600550551).

Almost surely, 2^{2101201101101} is an apocalyptic number.

It is an amenable number.

2101201101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101201101101 is an equidigital number, since it uses as much as digits as its factorization.

2101201101101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2101201101101 its reverse (1011011021012), we get a palindrome (3112212122113).

The spelling of 2101201101101 in words is "two trillion, one hundred one billion, two hundred one million, one hundred one thousand, one hundred one".