103122120200 has 96 divisors (see below), whose sum is σ = 262022916960. Its totient is φ = 37431897600.

The previous prime is 103122120197. The next prime is 103122120263. The reversal of 103122120200 is 2021221301.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196972 + ... + 1280228.

It is an arithmetic number, because the mean of its divisors is an integer number (2729405385).

Almost surely, 2^103122120200 is an apocalyptic number.

103122120200 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 103122120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131011458480).

103122120200 is an abundant number, since it is smaller than the sum of its proper divisors (158900796760).

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

103122120200 is a wasteful number, since it uses less digits than its factorization.

103122120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83847 (or 83838 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 103122120200 its reverse (2021221301), we get a palindrome (105143341501).

It can be divided in two parts, 103122 and 120200, that added together give a palindrome (223322).

The spelling of 103122120200 in words is "one hundred three billion, one hundred twenty-two million, one hundred twenty thousand, two hundred".