10112121212112 has 160 divisors (see below), whose sum is σ = 31447637400960. Its totient is φ = 3098652641280.

The previous prime is 10112121212047. The next prime is 10112121212113. The reversal of 10112121212112 is 21121212121101.

It is a happy number.

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 (10112121212113) 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, 15694939 + ... + 16326522.

It is an arithmetic number, because the mean of its divisors is an integer number (196547733756).

Almost surely, 2^{10112121212112} is an apocalyptic number.

10112121212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10112121212112 is an abundant number, since it is smaller than the sum of its proper divisors (21335516188848).

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

10112121212112 is a wasteful number, since it uses less digits than its factorization.

10112121212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32021538 (or 32021526 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10112121212112 its reverse (21121212121101), we get a palindrome (31233333333213).

The spelling of 10112121212112 in words is "ten trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twelve".