111010212121120 has 144 divisors (see below), whose sum is σ = 285043175391240. Its totient is φ = 40836010156032.

The previous prime is 111010212121097. The next prime is 111010212121139. The reversal of 111010212121120 is 21121212010111.

It can be written as a sum of positive squares in 12 ways, for example, as 303177744 + 111009908943376 = 17412^2 + 10536124^2 .

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 = 111010212121094 and 111010212121103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357109 + ... + 14904628.

Almost surely, 2^{111010212121120} is an apocalyptic number.

111010212121120 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 111010212121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142521587695620).

111010212121120 is an abundant number, since it is smaller than the sum of its proper divisors (174032963270120).

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

111010212121120 is a wasteful number, since it uses less digits than its factorization.

111010212121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15262047 (or 15262026 counting only the distinct ones).

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

Adding to 111010212121120 its reverse (21121212010111), we get a palindrome (132131424131231).

The spelling of 111010212121120 in words is "one hundred eleven trillion, ten billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twenty".