101310112400112 has 960 divisors, whose sum is σ = 381821311872000. Its totient is φ = 24815900067840.

The previous prime is 101310112400099. The next prime is 101310112400129. The reversal of 101310112400112 is 211004211013101.

101310112400112 is a `hidden beast` number, since 1 + 0 + 1 + 310 + 1 + 1 + 240 + 0 + 112 = 666.

It is a super-2 number, since 2×101310112400112² (a number of 29 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 677435298 + ... + 677584830.

It is an arithmetic number, because the mean of its divisors is an integer number (397730533200).

Almost surely, 2^{101310112400112} is an apocalyptic number.

101310112400112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101310112400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190910655936000).

101310112400112 is an abundant number, since it is smaller than the sum of its proper divisors (280511199471888).

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

101310112400112 is a wasteful number, since it uses less digits than its factorization.

101310112400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149651 (or 149628 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101310112400112 its reverse (211004211013101), we get a palindrome (312314323413213).

The spelling of 101310112400112 in words is "one hundred one trillion, three hundred ten billion, one hundred twelve million, four hundred thousand, one hundred twelve".