100022221121112 has 24 divisors (see below), whose sum is σ = 270893515536540. Its totient is φ = 33340740373680.

The previous prime is 100022221121107. The next prime is 100022221121117. The reversal of 100022221121112 is 211121122220001.

100022221121112 is a `hidden beast` number, since 10 + 0 + 0 + 222 + 211 + 211 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (100022221121107) and next prime (100022221121117).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×100022221121112³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022221121117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 694598757714 + ... + 694598757857.

Almost surely, 2^{100022221121112} is an apocalyptic number.

100022221121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100022221121112 is an abundant number, since it is smaller than the sum of its proper divisors (170871294415428).

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

100022221121112 is a wasteful number, since it uses less digits than its factorization.

100022221121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389197515583 (or 1389197515576 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100022221121112 its reverse (211121122220001), we get a palindrome (311143343341113).

The spelling of 100022221121112 in words is "one hundred trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twelve".