103123022333100 has 1152 divisors, whose sum is σ = 385171411451904. Its totient is φ = 20681740800000.

The previous prime is 103123022332987. The next prime is 103123022333113. The reversal of 103123022333100 is 1333220321301.

It is a super-2 number, since 2×103123022333100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 100022329585 + ... + 100022330615.

It is an arithmetic number, because the mean of its divisors is an integer number (334350183552).

Almost surely, 2^{103123022333100} is an apocalyptic number.

103123022333100 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 103123022333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192585705725952).

103123022333100 is an abundant number, since it is smaller than the sum of its proper divisors (282048389118804).

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

103123022333100 is a wasteful number, since it uses less digits than its factorization.

103123022333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103123022333100 its reverse (1333220321301), we get a palindrome (104456242654401).

The spelling of 103123022333100 in words is "one hundred three trillion, one hundred twenty-three billion, twenty-two million, three hundred thirty-three thousand, one hundred".