100022111112 has 128 divisors (see below), whose sum is σ = 312306508800. Its totient is φ = 25933996800.

The previous prime is 100022111039. The next prime is 100022111117. The reversal of 100022111112 is 211111220001.

It is a super-2 number, since 2×100022111112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100022111117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007814 + ... + 1102602.

It is an arithmetic number, because the mean of its divisors is an integer number (2439894600).

Almost surely, 2^100022111112 is an apocalyptic number.

100022111112 is a gapful number since it is divisible by the number (12) 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 100022111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156153254400).

100022111112 is an abundant number, since it is smaller than the sum of its proper divisors (212284397688).

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

100022111112 is a wasteful number, since it uses less digits than its factorization.

100022111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95387 (or 95383 counting only the distinct ones).

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

Adding to 100022111112 its reverse (211111220001), we get a palindrome (311133331113).

The spelling of 100022111112 in words is "one hundred billion, twenty-two million, one hundred eleven thousand, one hundred twelve".