1001000011120 has 80 divisors (see below), whose sum is σ = 2344399948800. Its totient is φ = 397465731072.

The previous prime is 1001000011079. The next prime is 1001000011157. The reversal of 1001000011120 is 211100001001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 19797712 + ... + 19848208.

It is an arithmetic number, because the mean of its divisors is an integer number (29304999360).

Almost surely, 2^{1001000011120} is an apocalyptic number.

1001000011120 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 1001000011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172199974400).

1001000011120 is an abundant number, since it is smaller than the sum of its proper divisors (1343399937680).

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

1001000011120 is a wasteful number, since it uses less digits than its factorization.

1001000011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52322 (or 52316 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001000011120 its reverse (211100001001), we get a palindrome (1212100012121).

The spelling of 1001000011120 in words is "one trillion, one billion, eleven thousand, one hundred twenty".