103122022110120 has 288 divisors, whose sum is σ = 366394525890120. Its totient is φ = 25005013355520.

The previous prime is 103122022110103. The next prime is 103122022110227. The reversal of 103122022110120 is 21011220221301.

103122022110120 is a `hidden beast` number, since 1 + 0 + 312 + 2 + 0 + 221 + 10 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91454373459684 + 11667648650436 = 9563178^2 + 3415794^2 .

It is a super-3 number, since 3×103122022110120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103122022110093 and 103122022110102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18554230 + ... + 23462810.

Almost surely, 2^{103122022110120} is an apocalyptic number.

103122022110120 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 103122022110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183197262945060).

103122022110120 is an abundant number, since it is smaller than the sum of its proper divisors (263272503780000).

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

103122022110120 is a wasteful number, since it uses less digits than its factorization.

103122022110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908745 (or 4908671 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 103122022110120 its reverse (21011220221301), we get a palindrome (124133242331421).

The spelling of 103122022110120 in words is "one hundred three trillion, one hundred twenty-two billion, twenty-two million, one hundred ten thousand, one hundred twenty".