103312310002100 has 18 divisors (see below), whose sum is σ = 224187712704774. Its totient is φ = 41324924000800.

The previous prime is 103312310002093. The next prime is 103312310002103. The reversal of 103312310002100 is 1200013213301.

It can be written as a sum of positive squares in 3 ways, for example, as 16026603048976 + 87285706953124 = 4003324^2 + 9342682^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312310002103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 516561549911 + ... + 516561550110.

It is an arithmetic number, because the mean of its divisors is an integer number (12454872928043).

Almost surely, 2^{103312310002100} is an apocalyptic number.

103312310002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103312310002100 is an abundant number, since it is smaller than the sum of its proper divisors (120875402702674).

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

103312310002100 is a wasteful number, since it uses less digits than its factorization.

103312310002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033123100035 (or 1033123100028 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 103312310002100 its reverse (1200013213301), we get a palindrome (104512323215401).

The spelling of 103312310002100 in words is "one hundred three trillion, three hundred twelve billion, three hundred ten million, two thousand, one hundred".