100101212222112 has 72 divisors (see below), whose sum is σ = 285106914548820. Its totient is φ = 33315015966720.

The previous prime is 100101212222051. The next prime is 100101212222159. The reversal of 100101212222112 is 211222212101001.

100101212222112 is a `hidden beast` number, since 100 + 10 + 121 + 222 + 211 + 2 = 666.

100101212222112 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 2 ways, for example, as 96308393651856 + 3792818570256 = 9813684^2 + 1947516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270933687 + ... + 271302902.

Almost surely, 2^{100101212222112} is an apocalyptic number.

100101212222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101212222112 is an abundant number, since it is smaller than the sum of its proper divisors (185005702326708).

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

100101212222112 is a wasteful number, since it uses less digits than its factorization.

100101212222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542237246 (or 542237235 counting only the distinct ones).

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

Adding to 100101212222112 its reverse (211222212101001), we get a palindrome (311323424323113).

The spelling of 100101212222112 in words is "one hundred trillion, one hundred one billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twelve".