22101111131211 has 48 divisors (see below), whose sum is σ = 36507201784768. Its totient is φ = 12621306470400.

The previous prime is 22101111131201. The next prime is 22101111131249. The reversal of 22101111131211 is 11213111110122.

22101111131211 is a `hidden beast` number, since 2 + 210 + 1 + 111 + 131 + 211 = 666.

It is not a de Polignac number, because 22101111131211 - 2¹³ = 22101111123019 is a prime.

It is a super-2 number, since 2×22101111131211² (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 (22101111131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1320170301 + ... + 1320187041.

Almost surely, 2^{22101111131211} is an apocalyptic number.

22101111131211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22101111131211 is a deficient number, since it is larger than the sum of its proper divisors (14406090653557).

22101111131211 is a wasteful number, since it uses less digits than its factorization.

22101111131211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28612 (or 28609 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 22101111131211 its reverse (11213111110122), we get a palindrome (33314222241333).

The spelling of 22101111131211 in words is "twenty-two trillion, one hundred one billion, one hundred eleven million, one hundred thirty-one thousand, two hundred eleven".