11201122101001 has 16 divisors (see below), whose sum is σ = 13557822909696. Its totient is φ = 9033850077696.

The previous prime is 11201122100953. The next prime is 11201122101031. The reversal of 11201122101001 is 10010122110211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11201122101001 - 2²⁵ = 11201088546569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11201122101031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11776036 + ... + 12691621.

It is an arithmetic number, because the mean of its divisors is an integer number (847363931856).

Almost surely, 2^{11201122101001} is an apocalyptic number.

It is an amenable number.

11201122101001 is a deficient number, since it is larger than the sum of its proper divisors (2356700808695).

11201122101001 is a wasteful number, since it uses less digits than its factorization.

11201122101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24471528.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11201122101001 its reverse (10010122110211), we get a palindrome (21211244211212).

The spelling of 11201122101001 in words is "eleven trillion, two hundred one billion, one hundred twenty-two million, one hundred one thousand, one".