1001111101120 has 56 divisors (see below), whose sum is σ = 2567272420944. Its totient is φ = 369641020416.

The previous prime is 1001111101087. The next prime is 1001111101121. The reversal of 1001111101120 is 211011111001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1001111101097 and 1001111101106.

It is not an unprimeable number, because it can be changed into a prime (1001111101121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120321694 + ... + 120330013.

It is an arithmetic number, because the mean of its divisors is an integer number (45844150374).

Almost surely, 2^{1001111101120} is an apocalyptic number.

1001111101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001111101120 is an abundant number, since it is smaller than the sum of its proper divisors (1566161319824).

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

1001111101120 is a wasteful number, since it uses less digits than its factorization.

1001111101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240651737 (or 240651727 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1001111101120 its reverse (211011111001), we get a palindrome (1212122212121).

The spelling of 1001111101120 in words is "one trillion, one billion, one hundred eleven million, one hundred one thousand, one hundred twenty".