4100103120 has 80 divisors (see below), whose sum is σ = 12803198400. Its totient is φ = 1085371392.

The previous prime is 4100103103. The next prime is 4100103127. The reversal of 4100103120 is 213010014.

It is a happy number.

4100103120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4100103096 and 4100103105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100103127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29470 + ... + 95229.

It is an arithmetic number, because the mean of its divisors is an integer number (160039980).

Almost surely, 2^4100103120 is an apocalyptic number.

4100103120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4100103120 is an abundant number, since it is smaller than the sum of its proper divisors (8703095280).

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

4100103120 is a wasteful number, since it uses less digits than its factorization.

4100103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124852 (or 124846 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 4100103120 is about 64032.0476011817. The cubic root of 4100103120 is about 1600.5340821195.

Adding to 4100103120 its reverse (213010014), we get a palindrome (4313113134).

The spelling of 4100103120 in words is "four billion, one hundred million, one hundred three thousand, one hundred twenty".