103122022120 has 192 divisors, whose sum is σ = 257333209200. Its totient is φ = 37164441600.

The previous prime is 103122022079. The next prime is 103122022121. The reversal of 103122022120 is 21220221301.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 10439526276 + 92682495844 = 102174^2 + 304438^2 .

It is a super-2 number, since 2×103122022120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103122022094 and 103122022103.

It is not an unprimeable number, because it can be changed into a prime (103122022121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49840446 + ... + 49842514.

Almost surely, 2^103122022120 is an apocalyptic number.

103122022120 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 103122022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128666604600).

103122022120 is an abundant number, since it is smaller than the sum of its proper divisors (154211187080).

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

103122022120 is a wasteful number, since it uses less digits than its factorization.

103122022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 103122022120 its reverse (21220221301), we get a palindrome (124342243421).

The spelling of 103122022120 in words is "one hundred three billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty".