103123122100 has 72 divisors (see below), whose sum is σ = 229344696000. Its totient is φ = 40223942400.

The previous prime is 103123122073. The next prime is 103123122127. The reversal of 103123122100 is 1221321301.

It is an interprime number because it is at equal distance from previous prime (103123122073) and next prime (103123122127).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11061241 + ... + 11070559.

It is an arithmetic number, because the mean of its divisors is an integer number (3185343000).

Almost surely, 2^103123122100 is an apocalyptic number.

103123122100 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 103123122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114672348000).

103123122100 is an abundant number, since it is smaller than the sum of its proper divisors (126221573900).

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

103123122100 is a wasteful number, since it uses less digits than its factorization.

103123122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12073 (or 12066 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103123122100 its reverse (1221321301), we get a palindrome (104344443401).

The spelling of 103123122100 in words is "one hundred three billion, one hundred twenty-three million, one hundred twenty-two thousand, one hundred".