110012211121120 has 192 divisors, whose sum is σ = 324050866900992. Its totient is φ = 34287943680000.

The previous prime is 110012211121073. The next prime is 110012211121157. The reversal of 110012211121120 is 21121112210011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110012211121094 and 110012211121103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283671345 + ... + 284058895.

It is an arithmetic number, because the mean of its divisors is an integer number (1687764931776).

Almost surely, 2^{110012211121120} is an apocalyptic number.

110012211121120 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 110012211121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162025433450496).

110012211121120 is an abundant number, since it is smaller than the sum of its proper divisors (214038655779872).

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

110012211121120 is a wasteful number, since it uses less digits than its factorization.

110012211121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410625 (or 410617 counting only the distinct ones).

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

Adding to 110012211121120 its reverse (21121112210011), we get a palindrome (131133323331131).

The spelling of 110012211121120 in words is "one hundred ten trillion, twelve billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".