103314122100 has 432 divisors, whose sum is σ = 395785668096. Its totient is φ = 22003200000.

The previous prime is 103314122071. The next prime is 103314122123. The reversal of 103314122100 is 1221413301.

103314122100 is a `hidden beast` number, since 10 + 3 + 31 + 412 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent 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 143 ways as a sum of consecutive naturals, for example, 10812325 + ... + 10821875.

It is an arithmetic number, because the mean of its divisors is an integer number (916170528).

Almost surely, 2^103314122100 is an apocalyptic number.

103314122100 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 103314122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197892834048).

103314122100 is an abundant number, since it is smaller than the sum of its proper divisors (292471545996).

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

103314122100 is a wasteful number, since it uses less digits than its factorization.

103314122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9696 (or 9686 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103314122100 its reverse (1221413301), we get a palindrome (104535535401).

The spelling of 103314122100 in words is "one hundred three billion, three hundred fourteen million, one hundred twenty-two thousand, one hundred".