100122220112 has 40 divisors (see below), whose sum is σ = 194737024872. Its totient is φ = 49867776000.

The previous prime is 100122220027. The next prime is 100122220117. The reversal of 100122220112 is 211022221001.

100122220112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6451944976 + 93670275136 = 80324^2 + 306056^2 .

It is a super-3 number, since 3×100122220112³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122220117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6468062 + ... + 6483522.

Almost surely, 2^100122220112 is an apocalyptic number.

It is an amenable number.

100122220112 is a deficient number, since it is larger than the sum of its proper divisors (94614804760).

100122220112 is a wasteful number, since it uses less digits than its factorization.

100122220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17007 (or 17001 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100122220112 its reverse (211022221001), we get a palindrome (311144441113).

The spelling of 100122220112 in words is "one hundred billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twelve".