103212012102300 has 288 divisors, whose sum is σ = 340534889372160. Its totient is φ = 26808613977600.

The previous prime is 103212012102281. The next prime is 103212012102313. The reversal of 103212012102300 is 3201210212301.

103212012102300 is a `hidden beast` number, since 1 + 0 + 3 + 21 + 201 + 210 + 230 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12667704 + ... + 19154496.

It is an arithmetic number, because the mean of its divisors is an integer number (1182412810320).

Almost surely, 2^{103212012102300} is an apocalyptic number.

103212012102300 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 103212012102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170267444686080).

103212012102300 is an abundant number, since it is smaller than the sum of its proper divisors (237322877269860).

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

103212012102300 is a wasteful number, since it uses less digits than its factorization.

103212012102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486970 (or 6486957 counting only the distinct ones).

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

Adding to 103212012102300 its reverse (3201210212301), we get a palindrome (106413222314601).

The spelling of 103212012102300 in words is "one hundred three trillion, two hundred twelve billion, twelve million, one hundred two thousand, three hundred".