1001110111248 has 320 divisors, whose sum is σ = 2981761155072. Its totient is φ = 287075543040.

The previous prime is 1001110111247. The next prime is 1001110111279. The reversal of 1001110111248 is 8421110111001.

It is a happy number.

It is a super-2 number, since 2×1001110111248² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001110111247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93670161 + ... + 93680847.

Almost surely, 2^{1001110111248} 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 1001110111248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490880577536).

1001110111248 is an abundant number, since it is smaller than the sum of its proper divisors (1980651043824).

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

1001110111248 is a wasteful number, since it uses less digits than its factorization.

1001110111248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902 (or 10896 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 21.

Adding to 1001110111248 its reverse (8421110111001), we get a palindrome (9422220222249).

The spelling of 1001110111248 in words is "one trillion, one billion, one hundred ten million, one hundred eleven thousand, two hundred forty-eight".