101112644315392 has 144 divisors (see below), whose sum is σ = 209196691526592. Its totient is φ = 48744844001280.

The previous prime is 101112644315381. The next prime is 101112644315407. The reversal of 101112644315392 is 293513446211101.

It is a super-2 number, since 2×101112644315392² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330824788 + ... + 331130284.

It is an arithmetic number, because the mean of its divisors is an integer number (1452754802268).

Almost surely, 2^{101112644315392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112644315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104598345763296).

101112644315392 is an abundant number, since it is smaller than the sum of its proper divisors (108084047211200).

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

101112644315392 is a wasteful number, since it uses less digits than its factorization.

101112644315392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305944 (or 305930 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 101112644315392 in words is "one hundred one trillion, one hundred twelve billion, six hundred forty-four million, three hundred fifteen thousand, three hundred ninety-two".