103101314004200 has 48 divisors (see below), whose sum is σ = 244233395746380. Its totient is φ = 40462402472960.

The previous prime is 103101314004193. The next prime is 103101314004239. The reversal of 103101314004200 is 2400413101301.

It can be written as a sum of positive squares in 6 ways, for example, as 47291120937316 + 55810193066884 = 6876854^2 + 7470622^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4863258929 + ... + 4863280128.

Almost surely, 2^{103101314004200} is an apocalyptic number.

103101314004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103101314004200 is an abundant number, since it is smaller than the sum of its proper divisors (141132081742180).

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

103101314004200 is a wasteful number, since it uses less digits than its factorization.

103101314004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9726539126 (or 9726539117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103101314004200 its reverse (2400413101301), we get a palindrome (105501727105501).

The spelling of 103101314004200 in words is "one hundred three trillion, one hundred one billion, three hundred fourteen million, four thousand, two hundred".