103111122100 has 72 divisors (see below), whose sum is σ = 255903148928. Its totient is φ = 35326454400.

The previous prime is 103111122077. The next prime is 103111122133. The reversal of 103111122100 is 1221111301.

It is a happy number.

103111122100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103111122100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913369 + ... + 1020031.

Almost surely, 2^103111122100 is an apocalyptic number.

103111122100 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 103111122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127951574464).

103111122100 is an abundant number, since it is smaller than the sum of its proper divisors (152792026828).

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

103111122100 is a wasteful number, since it uses less digits than its factorization.

103111122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108065 (or 108058 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 103111122100 its reverse (1221111301), we get a palindrome (104332233401).

The spelling of 103111122100 in words is "one hundred three billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".