1010111001120 has 384 divisors, whose sum is σ = 3821873932800. Its totient is φ = 247693676544.

The previous prime is 1010111001089. The next prime is 1010111001127. The reversal of 1010111001120 is 211001110101.

1010111001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (1010111001127) 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, 14735886 + ... + 14804274.

It is an arithmetic number, because the mean of its divisors is an integer number (9952796700).

Almost surely, 2^{1010111001120} is an apocalyptic number.

1010111001120 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 1010111001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910936966400).

1010111001120 is an abundant number, since it is smaller than the sum of its proper divisors (2811762931680).

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

1010111001120 is a wasteful number, since it uses less digits than its factorization.

1010111001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68689 (or 68675 counting only the distinct ones).

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

Adding to 1010111001120 its reverse (211001110101), we get a palindrome (1221112111221).

The spelling of 1010111001120 in words is "one trillion, ten billion, one hundred eleven million, one thousand, one hundred twenty".