1001112101440 has 224 divisors, whose sum is σ = 2613424694400. Its totient is φ = 362253189120.

The previous prime is 1001112101387. The next prime is 1001112101441. The reversal of 1001112101440 is 441012111001.

It is a super-2 number, since 2×1001112101440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1001112101441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077622896 + ... + 1077623824.

Almost surely, 2^{1001112101440} is an apocalyptic number.

1001112101440 is a gapful number since it is divisible by the number (10) 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 1001112101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306712347200).

1001112101440 is an abundant number, since it is smaller than the sum of its proper divisors (1612312592960).

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

1001112101440 is a wasteful number, since it uses less digits than its factorization.

1001112101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1001112101440 its reverse (441012111001), we get a palindrome (1442124212441).

The spelling of 1001112101440 in words is "one trillion, one billion, one hundred twelve million, one hundred one thousand, four hundred forty".