10112100001122 has 96 divisors (see below), whose sum is σ = 23991317247744. Its totient is φ = 2832572215200.

The previous prime is 10112100001121. The next prime is 10112100001249. The reversal of 10112100001122 is 22110000121101.

It is a junction number, because it is equal to n+sod(n) for n = 10112100001098 and 10112100001107.

It is not an unprimeable number, because it can be changed into a prime (10112100001121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1614997 + ... + 4778327.

It is an arithmetic number, because the mean of its divisors is an integer number (249909554664).

Almost surely, 2^{10112100001122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112100001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995658623872).

10112100001122 is an abundant number, since it is smaller than the sum of its proper divisors (13879217246622).

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

10112100001122 is a wasteful number, since it uses less digits than its factorization.

10112100001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163564 (or 3163557 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112100001122 its reverse (22110000121101), we get a palindrome (32222100122223).

The spelling of 10112100001122 in words is "ten trillion, one hundred twelve billion, one hundred million, one thousand, one hundred twenty-two".