100022110112 has 96 divisors (see below), whose sum is σ = 215925538752. Its totient is φ = 45419802624.

The previous prime is 100022110099. The next prime is 100022110117. The reversal of 100022110112 is 211011220001.

100022110112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100022110112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100022110093 and 100022110102.

It is not an unprimeable number, because it can be changed into a prime (100022110117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1915778 + ... + 1967294.

It is an arithmetic number, because the mean of its divisors is an integer number (2249224362).

Almost surely, 2^100022110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107962769376).

100022110112 is an abundant number, since it is smaller than the sum of its proper divisors (115903428640).

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

100022110112 is a wasteful number, since it uses less digits than its factorization.

100022110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51670 (or 51662 counting only the distinct ones).

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

Adding to 100022110112 its reverse (211011220001), we get a palindrome (311033330113).

The spelling of 100022110112 in words is "one hundred billion, twenty-two million, one hundred ten thousand, one hundred twelve".