101112120112248 has 72 divisors (see below), whose sum is σ = 318554766181080. Its totient is φ = 28889177173920.

The previous prime is 101112120112217. The next prime is 101112120112249. The reversal of 101112120112248 is 842211021211101.

It is a happy number.

101112120112248 is a `hidden beast` number, since 101 + 112 + 1 + 201 + 1 + 2 + 248 = 666.

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

It is a super-2 number, since 2×101112120112248² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112120112249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14329945468 + ... + 14329952523.

It is an arithmetic number, because the mean of its divisors is an integer number (4424371752515).

Almost surely, 2^{101112120112248} is an apocalyptic number.

101112120112248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101112120112248 is an abundant number, since it is smaller than the sum of its proper divisors (217442646068832).

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

101112120112248 is a wasteful number, since it uses less digits than its factorization.

101112120112248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28659898017 (or 28659898003 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

Adding to 101112120112248 its reverse (842211021211101), we get a palindrome (943323141323349).

The spelling of 101112120112248 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, one hundred twelve thousand, two hundred forty-eight".