103112123100 has 144 divisors (see below), whose sum is σ = 341094835200. Its totient is φ = 23558987520.

The previous prime is 103112123083. The next prime is 103112123123. The reversal of 103112123100 is 1321211301.

It is a happy number.

It is a super-2 number, since 2×103112123100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103112123100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6100461 + ... + 6117339.

Almost surely, 2^103112123100 is an apocalyptic number.

103112123100 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 103112123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170547417600).

103112123100 is an abundant number, since it is smaller than the sum of its proper divisors (237982712100).

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

103112123100 is a wasteful number, since it uses less digits than its factorization.

103112123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19812 (or 19805 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103112123100 its reverse (1321211301), we get a palindrome (104433334401).

The spelling of 103112123100 in words is "one hundred three billion, one hundred twelve million, one hundred twenty-three thousand, one hundred".