20110122100112 has 80 divisors (see below), whose sum is σ = 42698715321600. Its totient is φ = 9099421077120.

The previous prime is 20110122100073. The next prime is 20110122100151. The reversal of 20110122100112 is 21100122101102.

It is an interprime number because it is at equal distance from previous prime (20110122100073) and next prime (20110122100151).

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 15 ways as a sum of consecutive naturals, for example, 321941939 + ... + 322004397.

It is an arithmetic number, because the mean of its divisors is an integer number (533733941520).

Almost surely, 2^{20110122100112} is an apocalyptic number.

20110122100112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110122100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21349357660800).

20110122100112 is an abundant number, since it is smaller than the sum of its proper divisors (22588593221488).

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

20110122100112 is a wasteful number, since it uses less digits than its factorization.

20110122100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70764 (or 70758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20110122100112 its reverse (21100122101102), we get a palindrome (41210244201214).

The spelling of 20110122100112 in words is "twenty trillion, one hundred ten billion, one hundred twenty-two million, one hundred thousand, one hundred twelve".