22011100112122 has 24 divisors (see below), whose sum is σ = 36296140785408. Its totient is φ = 10003636158120.

The previous prime is 22011100112017. The next prime is 22011100112143. The reversal of 22011100112122 is 22121100111022.

It is a junction number, because it is equal to n+sod(n) for n = 22011100112096 and 22011100112105.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4683648 + ... + 8121499.

It is an arithmetic number, because the mean of its divisors is an integer number (1512339199392).

Almost surely, 2^{22011100112122} is an apocalyptic number.

22011100112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22011100112122 is a deficient number, since it is larger than the sum of its proper divisors (14285040673286).

22011100112122 is a wasteful number, since it uses less digits than its factorization.

22011100112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12812274 (or 12812263 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22011100112122 its reverse (22121100111022), we get a palindrome (44132200223144).

The spelling of 22011100112122 in words is "twenty-two trillion, eleven billion, one hundred million, one hundred twelve thousand, one hundred twenty-two".