11201220122121 has 32 divisors (see below), whose sum is σ = 17316566784000. Its totient is φ = 7142530271184.

The previous prime is 11201220122101. The next prime is 11201220122177. The reversal of 11201220122121 is 12122102210211.

11201220122121 is a `hidden beast` number, since 1 + 1 + 201 + 220 + 1 + 221 + 21 = 666.

It is not a de Polignac number, because 11201220122121 - 2¹⁴ = 11201220105737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11201220122094 and 11201220122103.

It is not an unprimeable number, because it can be changed into a prime (11201220122101) 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, 16330990 + ... + 17003048.

It is an arithmetic number, because the mean of its divisors is an integer number (541142712000).

Almost surely, 2^{11201220122121} is an apocalyptic number.

It is an amenable number.

11201220122121 is a deficient number, since it is larger than the sum of its proper divisors (6115346661879).

11201220122121 is a wasteful number, since it uses less digits than its factorization.

11201220122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698930 (or 698924 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11201220122121 its reverse (12122102210211), we get a palindrome (23323322332332).

The spelling of 11201220122121 in words is "eleven trillion, two hundred one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".