11221022110311 has 128 divisors (see below), whose sum is σ = 19174022784000. Its totient is φ = 6427610869248.

The previous prime is 11221022110307. The next prime is 11221022110327. The reversal of 11221022110311 is 11301122012211.

It is a happy number.

11221022110311 is a `hidden beast` number, since 1 + 1 + 221 + 0 + 22 + 110 + 311 = 666.

It is not a de Polignac number, because 11221022110311 - 2² = 11221022110307 is a prime.

It is a super-2 number, since 2×11221022110311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221022110511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 902222785 + ... + 902235221.

It is an arithmetic number, because the mean of its divisors is an integer number (149797053000).

Almost surely, 2^{11221022110311} is an apocalyptic number.

11221022110311 is a deficient number, since it is larger than the sum of its proper divisors (7953000673689).

11221022110311 is a wasteful number, since it uses less digits than its factorization.

11221022110311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14830 (or 14824 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11221022110311 its reverse (11301122012211), we get a palindrome (22522144122522).

The spelling of 11221022110311 in words is "eleven trillion, two hundred twenty-one billion, twenty-two million, one hundred ten thousand, three hundred eleven".