1001110110120 has 192 divisors, whose sum is σ = 3474376588800. Its totient is φ = 249442260480.

The previous prime is 1001110110113. The next prime is 1001110110127. The reversal of 1001110110120 is 210110111001.

It is an interprime number because it is at equal distance from previous prime (1001110110113) and next prime (1001110110127).

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 (1001110110127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223002 + ... + 1870281.

It is an arithmetic number, because the mean of its divisors is an integer number (18095711400).

Almost surely, 2^{1001110110120} is an apocalyptic number.

1001110110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001110110120 is an abundant number, since it is smaller than the sum of its proper divisors (2473266478680).

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

1001110110120 is a wasteful number, since it uses less digits than its factorization.

1001110110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093360 (or 3093353 counting only the distinct ones).

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

Adding to 1001110110120 its reverse (210110111001), we get a palindrome (1211220221121).

The spelling of 1001110110120 in words is "one trillion, one billion, one hundred ten million, one hundred ten thousand, one hundred twenty".