11101022211121 has 8 divisors (see below), whose sum is σ = 11589172194600. Its totient is φ = 10619895968640.

The previous prime is 11101022211089. The next prime is 11101022211137. The reversal of 11101022211121 is 12111222010111.

It can be written as a sum of positive squares in 4 ways, for example, as 5107148010000 + 5993874201121 = 2259900^2 + 2448239^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11101022211121 - 2⁵ = 11101022211089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11101022211095 and 11101022211104.

It is not an unprimeable number, because it can be changed into a prime (11101022211821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1755932020 + ... + 1755938341.

It is an arithmetic number, because the mean of its divisors is an integer number (1448646524325).

Almost surely, 2^{11101022211121} is an apocalyptic number.

It is an amenable number.

11101022211121 is a deficient number, since it is larger than the sum of its proper divisors (488149983479).

11101022211121 is a wasteful number, since it uses less digits than its factorization.

11101022211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511870499.

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

Adding to 11101022211121 its reverse (12111222010111), we get a palindrome (23212244221232).

The spelling of 11101022211121 in words is "eleven trillion, one hundred one billion, twenty-two million, two hundred eleven thousand, one hundred twenty-one".