11201011001121 has 32 divisors (see below), whose sum is σ = 15121847270016. Its totient is φ = 7374168000000.

The previous prime is 11201011001101. The next prime is 11201011001123. The reversal of 11201011001121 is 12110011010211.

It is not a de Polignac number, because 11201011001121 - 2⁶ = 11201011001057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11201011001097 and 11201011001106.

It is not an unprimeable number, because it can be changed into a prime (11201011001123) 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 in 31 ways as a sum of consecutive naturals, for example, 183589621 + ... + 183650621.

It is an arithmetic number, because the mean of its divisors is an integer number (472557727188).

Almost surely, 2^{11201011001121} is an apocalyptic number.

It is an amenable number.

11201011001121 is a deficient number, since it is larger than the sum of its proper divisors (3920836268895).

11201011001121 is a wasteful number, since it uses less digits than its factorization.

11201011001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62673.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11201011001121 its reverse (12110011010211), we get a palindrome (23311022011332).

The spelling of 11201011001121 in words is "eleven trillion, two hundred one billion, eleven million, one thousand, one hundred twenty-one".