103121112130200 has 288 divisors, whose sum is σ = 359196492386160. Its totient is φ = 26490837888000.

The previous prime is 103121112130129. The next prime is 103121112130277. The reversal of 103121112130200 is 2031211121301.

103121112130200 is a `hidden beast` number, since 1 + 0 + 31 + 211 + 121 + 302 + 0 + 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 71 ways as a sum of consecutive naturals, for example, 938574 + ... + 14391773.

Almost surely, 2^{103121112130200} is an apocalyptic number.

103121112130200 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 103121112130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179598246193080).

103121112130200 is an abundant number, since it is smaller than the sum of its proper divisors (256075380255960).

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

103121112130200 is a wasteful number, since it uses less digits than its factorization.

103121112130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15330507 (or 15330495 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103121112130200 its reverse (2031211121301), we get a palindrome (105152323251501).

The spelling of 103121112130200 in words is "one hundred three trillion, one hundred twenty-one billion, one hundred twelve million, one hundred thirty thousand, two hundred".