11201121121201 has 32 divisors (see below), whose sum is σ = 12593317754880. Its totient is φ = 9875611972800.

The previous prime is 11201121121199. The next prime is 11201121121213. The reversal of 11201121121201 is 10212112110211.

It is a cyclic number.

It is not a de Polignac number, because 11201121121201 - 2¹ = 11201121121199 is a prime.

It is a super-2 number, since 2×11201121121201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11201121121301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24756730 + ... + 25205116.

It is an arithmetic number, because the mean of its divisors is an integer number (393541179840).

Almost surely, 2^{11201121121201} is an apocalyptic number.

11201121121201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11201121121201 is a deficient number, since it is larger than the sum of its proper divisors (1392196633679).

11201121121201 is a wasteful number, since it uses less digits than its factorization.

11201121121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448885.

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

Adding to 11201121121201 its reverse (10212112110211), we get a palindrome (21413233231412).

It can be divided in two parts, 112011 and 21121201, that added together give a palindrome (21233212).

The spelling of 11201121121201 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred one".