101212112112 has 40 divisors (see below), whose sum is σ = 261487777104. Its totient is φ = 33734383104.

The previous prime is 101212112081. The next prime is 101212112123. The reversal of 101212112112 is 211211212101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101212112091 and 101212112100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492178 + ... + 666830.

Almost surely, 2^101212112112 is an apocalyptic number.

101212112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101212112112 is an abundant number, since it is smaller than the sum of its proper divisors (160275664992).

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

101212112112 is a wasteful number, since it uses less digits than its factorization.

101212112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186737 (or 186731 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101212112112 its reverse (211211212101), we get a palindrome (312423324213).

The spelling of 101212112112 in words is "one hundred one billion, two hundred twelve million, one hundred twelve thousand, one hundred twelve".