11200001120101 has 2 divisors, whose sum is σ = 11200001120102. Its totient is φ = 11200001120100.

The previous prime is 11200001120089. The next prime is 11200001120111. The reversal of 11200001120101 is 10102110000211.

It is an a-pointer prime, because the next prime (11200001120111) can be obtained adding 11200001120101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9346043836900 + 1853957283201 = 3057130^2 + 1361601^2 .

It is a cyclic number.

It is not a de Polignac number, because 11200001120101 - 2¹⁵ = 11200001087333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11200001120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600000560050 + 5600000560051.

It is an arithmetic number, because the mean of its divisors is an integer number (5600000560051).

Almost surely, 2^{11200001120101} is an apocalyptic number.

It is an amenable number.

11200001120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11200001120101 is an equidigital number, since it uses as much as digits as its factorization.

11200001120101 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 11200001120101 its reverse (10102110000211), we get a palindrome (21302111120312).

The spelling of 11200001120101 in words is "eleven trillion, two hundred billion, one million, one hundred twenty thousand, one hundred one".