101112112202112 has 192 divisors, whose sum is σ = 317420997903360. Its totient is φ = 30639127034880.

The previous prime is 101112112202093. The next prime is 101112112202113. The reversal of 101112112202112 is 211202211211101.

It is a happy number.

101112112202112 is a `hidden beast` number, since 10 + 1 + 11 + 211 + 220 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (101112112202113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517515513 + ... + 517710855.

It is an arithmetic number, because the mean of its divisors is an integer number (1653234364080).

Almost surely, 2^{101112112202112} is an apocalyptic number.

101112112202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112112202112 is an abundant number, since it is smaller than the sum of its proper divisors (216308885701248).

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

101112112202112 is a wasteful number, since it uses less digits than its factorization.

101112112202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236221 (or 236206 counting only the distinct ones).

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

Adding to 101112112202112 its reverse (211202211211101), we get a palindrome (312314323413213).

The spelling of 101112112202112 in words is "one hundred one trillion, one hundred twelve billion, one hundred twelve million, two hundred two thousand, one hundred twelve".