111001022102120 has 256 divisors, whose sum is σ = 269922721965120. Its totient is φ = 40928816332800.

The previous prime is 111001022102063. The next prime is 111001022102143. The reversal of 111001022102120 is 21201220100111.

It can be written as a sum of positive squares in 32 ways, for example, as 22454841731716 + 88546180370404 = 4738654^2 + 9409898^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111001022102095 and 111001022102104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34895006930 + ... + 34895010110.

Almost surely, 2^{111001022102120} is an apocalyptic number.

111001022102120 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 111001022102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134961360982560).

111001022102120 is an abundant number, since it is smaller than the sum of its proper divisors (158921699863000).

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

111001022102120 is a wasteful number, since it uses less digits than its factorization.

111001022102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111001022102120 its reverse (21201220100111), we get a palindrome (132202242202231).

The spelling of 111001022102120 in words is "one hundred eleven trillion, one billion, twenty-two million, one hundred two thousand, one hundred twenty".