110011210212120 has 256 divisors, whose sum is σ = 391961521152000. Its totient is φ = 24170958766080.

The previous prime is 110011210212053. The next prime is 110011210212121. The reversal of 110011210212120 is 21212012110011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110011210212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011210212121) 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, 10296889 + ... + 18056808.

It is an arithmetic number, because the mean of its divisors is an integer number (1531099692000).

Almost surely, 2^{110011210212120} is an apocalyptic number.

110011210212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110011210212120 is an abundant number, since it is smaller than the sum of its proper divisors (281950310939880).

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

110011210212120 is a wasteful number, since it uses less digits than its factorization.

110011210212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28353898 (or 28353894 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110011210212120 its reverse (21212012110011), we get a palindrome (131223222322131).

The spelling of 110011210212120 in words is "one hundred ten trillion, eleven billion, two hundred ten million, two hundred twelve thousand, one hundred twenty".