103311122012100 has 288 divisors, whose sum is σ = 343008579379200. Its totient is φ = 26647815196800.

The previous prime is 103311122012089. The next prime is 103311122012129. The reversal of 103311122012100 is 1210221113301.

103311122012100 is a `hidden beast` number, since 1 + 0 + 331 + 1 + 1 + 220 + 12 + 100 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170361627 + ... + 170966973.

Almost surely, 2^{103311122012100} is an apocalyptic number.

103311122012100 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 103311122012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171504289689600).

103311122012100 is an abundant number, since it is smaller than the sum of its proper divisors (239697457367100).

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

103311122012100 is a wasteful number, since it uses less digits than its factorization.

103311122012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607440 (or 607427 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103311122012100 its reverse (1210221113301), we get a palindrome (104521343125401).

The spelling of 103311122012100 in words is "one hundred three trillion, three hundred eleven billion, one hundred twenty-two million, twelve thousand, one hundred".