110022112000010 has 24 divisors (see below), whose sum is σ = 230372830433700. Its totient is φ = 37721866971264.

The previous prime is 110022111999967. The next prime is 110022112000039. The reversal of 110022112000010 is 10000211220011.

It can be written as a sum of positive squares in 2 ways, for example, as 110016540721129 + 5571278881 = 10488877^2 + 74641^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110022111999955 and 110022112000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112267460735 + ... + 112267461714.

Almost surely, 2^{110022112000010} is an apocalyptic number.

110022112000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110022112000010 is an abundant number, since it is smaller than the sum of its proper divisors (120350718433690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110022112000010 is a wasteful number, since it uses less digits than its factorization.

110022112000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224534922470 (or 224534922463 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110022112000010 its reverse (10000211220011), we get a palindrome (120022323220021).

The spelling of 110022112000010 in words is "one hundred ten trillion, twenty-two billion, one hundred twelve million, ten", and thus it is an aban number.