1001111010120 has 256 divisors, whose sum is σ = 3626707392000. Its totient is φ = 244166151168.

The previous prime is 1001111010113. The next prime is 1001111010121. The reversal of 1001111010120 is 210101111001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001111010121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1203277 + ... + 1857443.

It is an arithmetic number, because the mean of its divisors is an integer number (14166825750).

Almost surely, 2^{1001111010120} is an apocalyptic number.

1001111010120 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 1001111010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813353696000).

1001111010120 is an abundant number, since it is smaller than the sum of its proper divisors (2625596381880).

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

1001111010120 is a wasteful number, since it uses less digits than its factorization.

1001111010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654309 (or 654299 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001111010120 its reverse (210101111001), we get a palindrome (1211212121121).

The spelling of 1001111010120 in words is "one trillion, one billion, one hundred eleven million, ten thousand, one hundred twenty".