103200022322120 has 128 divisors (see below), whose sum is σ = 246437600601600. Its totient is φ = 38760368541696.

The previous prime is 103200022322099. The next prime is 103200022322153. The reversal of 103200022322120 is 21223220002301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103200022322092 and 103200022322101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146762086 + ... + 1146852074.

It is an arithmetic number, because the mean of its divisors is an integer number (1925293754700).

Almost surely, 2^{103200022322120} is an apocalyptic number.

103200022322120 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 103200022322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123218800300800).

103200022322120 is an abundant number, since it is smaller than the sum of its proper divisors (143237578279480).

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

103200022322120 is a wasteful number, since it uses less digits than its factorization.

103200022322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93967 (or 93963 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103200022322120 its reverse (21223220002301), we get a palindrome (124423242324421).

The spelling of 103200022322120 in words is "one hundred three trillion, two hundred billion, twenty-two million, three hundred twenty-two thousand, one hundred twenty".