11201122102101 has 64 divisors (see below), whose sum is σ = 15798200242176. Its totient is φ = 7045429248000.

The previous prime is 11201122102087. The next prime is 11201122102109. The reversal of 11201122102101 is 10120122110211.

It is a happy number.

It is not a de Polignac number, because 11201122102101 - 2¹⁰ = 11201122101077 is a prime.

It is a super-4 number, since 4×11201122102101⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201122102109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1131307251 + ... + 1131317151.

It is an arithmetic number, because the mean of its divisors is an integer number (246846878784).

Almost surely, 2^{11201122102101} is an apocalyptic number.

It is an amenable number.

11201122102101 is a deficient number, since it is larger than the sum of its proper divisors (4597078140075).

11201122102101 is a wasteful number, since it uses less digits than its factorization.

11201122102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10802.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11201122102101 its reverse (10120122110211), we get a palindrome (21321244212312).

The spelling of 11201122102101 in words is "eleven trillion, two hundred one billion, one hundred twenty-two million, one hundred two thousand, one hundred one".