100103212030200 has 192 divisors, whose sum is σ = 313843526895360. Its totient is φ = 26391656632320.

The previous prime is 100103212030193. The next prime is 100103212030253. The reversal of 100103212030200 is 2030212301001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100103212030200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55390059 + ... + 57168741.

It is an arithmetic number, because the mean of its divisors is an integer number (1634601702580).

Almost surely, 2^{100103212030200} is an apocalyptic number.

100103212030200 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 100103212030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156921763447680).

100103212030200 is an abundant number, since it is smaller than the sum of its proper divisors (213740314865160).

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

100103212030200 is a wasteful number, since it uses less digits than its factorization.

100103212030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779766 (or 1779757 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100103212030200 its reverse (2030212301001), we get a palindrome (102133424331201).

The spelling of 100103212030200 in words is "one hundred trillion, one hundred three billion, two hundred twelve million, thirty thousand, two hundred".