10110101120 has 128 divisors (see below), whose sum is σ = 27725362560. Its totient is φ = 3453382656.

The previous prime is 10110101033. The next prime is 10110101123. The reversal of 10110101120 is 2110101101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10110101098 and 10110101107.

It is not an unprimeable number, because it can be changed into a prime (10110101123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1236887 + ... + 1245033.

It is an arithmetic number, because the mean of its divisors is an integer number (216604395).

Almost surely, 2^10110101120 is an apocalyptic number.

10110101120 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 10110101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862681280).

10110101120 is an abundant number, since it is smaller than the sum of its proper divisors (17615261440).

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

10110101120 is an equidigital number, since it uses as much as digits as its factorization.

10110101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10110101120 its reverse (2110101101), we get a palindrome (12220202221).

The spelling of 10110101120 in words is "ten billion, one hundred ten million, one hundred one thousand, one hundred twenty".