11221021122101 has 16 divisors (see below), whose sum is σ = 12944793235584. Its totient is φ = 9527537101824.

The previous prime is 11221021122089. The next prime is 11221021122137. The reversal of 11221021122101 is 10122112012211.

It is not a de Polignac number, because 11221021122101 - 2²⁶ = 11220954013237 is a prime.

It is a super-2 number, since 2×11221021122101² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11221021122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221021122151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2585915 + ... + 5397128.

It is an arithmetic number, because the mean of its divisors is an integer number (809049577224).

Almost surely, 2^{11221021122101} is an apocalyptic number.

It is an amenable number.

11221021122101 is a deficient number, since it is larger than the sum of its proper divisors (1723772113483).

11221021122101 is a wasteful number, since it uses less digits than its factorization.

11221021122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7984940.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11221021122101 its reverse (10122112012211), we get a palindrome (21343133134312).

The spelling of 11221021122101 in words is "eleven trillion, two hundred twenty-one billion, twenty-one million, one hundred twenty-two thousand, one hundred one".