103110102100 has 36 divisors (see below), whose sum is σ = 225964279548. Its totient is φ = 40835680000.

The previous prime is 103110102083. The next prime is 103110102107. The reversal of 103110102100 is 1201011301.

103110102100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 15941082564 + 87169019536 = 126258^2 + 295244^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103110102107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5094361 + ... + 5114560.

It is an arithmetic number, because the mean of its divisors is an integer number (6276785543).

Almost surely, 2^103110102100 is an apocalyptic number.

103110102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103110102100 is an abundant number, since it is smaller than the sum of its proper divisors (122854177448).

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

103110102100 is a wasteful number, since it uses less digits than its factorization.

103110102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209036 (or 10209029 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 103110102100 its reverse (1201011301), we get a palindrome (104311113401).

The spelling of 103110102100 in words is "one hundred three billion, one hundred ten million, one hundred two thousand, one hundred".