103012102123200 has 420 divisors, whose sum is σ = 382395599994672. Its totient is φ = 27197911296000.

The previous prime is 103012102123111. The next prime is 103012102123213. The reversal of 103012102123200 is 2321201210301.

103012102123200 is a `hidden beast` number, since 1 + 0 + 301 + 21 + 0 + 21 + 2 + 320 + 0 = 666.

It is a super-2 number, since 2×103012102123200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 9154717 + ... + 17024483.

Almost surely, 2^{103012102123200} is an apocalyptic number.

103012102123200 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 103012102123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191197799997336).

103012102123200 is an abundant number, since it is smaller than the sum of its proper divisors (279383497871472).

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

103012102123200 is a wasteful number, since it uses less digits than its factorization.

103012102123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869902 (or 7869878 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103012102123200 its reverse (2321201210301), we get a palindrome (105333303333501).

The spelling of 103012102123200 in words is "one hundred three trillion, twelve billion, one hundred two million, one hundred twenty-three thousand, two hundred".