2011100201101 has 2 divisors, whose sum is σ = 2011100201102. Its totient is φ = 2011100201100.

The previous prime is 2011100201081. The next prime is 2011100201191. The reversal of 2011100201101 is 1011020011102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1404874455076 + 606225746025 = 1185274^2 + 778605^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011100201101 - 2⁵ = 2011100201069 is a prime.

It is a super-2 number, since 2×2011100201101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011100201191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005550100550 + 1005550100551.

It is an arithmetic number, because the mean of its divisors is an integer number (1005550100551).

Almost surely, 2^{2011100201101} is an apocalyptic number.

It is an amenable number.

2011100201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011100201101 is an equidigital number, since it uses as much as digits as its factorization.

2011100201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2011100201101 its reverse (1011020011102), we get a palindrome (3022120212203).

The spelling of 2011100201101 in words is "two trillion, eleven billion, one hundred million, two hundred one thousand, one hundred one".