22011131110101 has 64 divisors (see below), whose sum is σ = 34292044800000. Its totient is φ = 12553277075136.

The previous prime is 22011131110039. The next prime is 22011131110103. The reversal of 22011131110101 is 10101113111022.

It is not a de Polignac number, because 22011131110101 - 2¹¹ = 22011131108053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011131110103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1142891410 + ... + 1142910668.

It is an arithmetic number, because the mean of its divisors is an integer number (535813200000).

Almost surely, 2^{22011131110101} is an apocalyptic number.

22011131110101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22011131110101 is a deficient number, since it is larger than the sum of its proper divisors (12280913689899).

22011131110101 is a wasteful number, since it uses less digits than its factorization.

22011131110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21391 (or 21377 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 22011131110101 its reverse (10101113111022), we get a palindrome (32112244221123).

The spelling of 22011131110101 in words is "twenty-two trillion, eleven billion, one hundred thirty-one million, one hundred ten thousand, one hundred one".