110200111301120 has 160 divisors (see below), whose sum is σ = 269230108335408. Its totient is φ = 43244682477568.

The previous prime is 110200111301113. The next prime is 110200111301141. The reversal of 110200111301120 is 21103111002011.

It can be written as a sum of positive squares in 8 ways, for example, as 79715755143424 + 30484356157696 = 8928368^2 + 5521264^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 110200111301095 and 110200111301104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2053761332 + ... + 2053814988.

Almost surely, 2^{110200111301120} is an apocalyptic number.

110200111301120 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 110200111301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134615054167704).

110200111301120 is an abundant number, since it is smaller than the sum of its proper divisors (159029997034288).

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

110200111301120 is an equidigital number, since it uses as much as digits as its factorization.

110200111301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68870 (or 68854 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 110200111301120 its reverse (21103111002011), we get a palindrome (131303222303131).

The spelling of 110200111301120 in words is "one hundred ten trillion, two hundred billion, one hundred eleven million, three hundred one thousand, one hundred twenty".