103200010212 has 144 divisors (see below), whose sum is σ = 281300221440. Its totient is φ = 29321570304.

The previous prime is 103200010187. The next prime is 103200010213. The reversal of 103200010212 is 212010002301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (103200010213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1798989 + ... + 1855467.

It is an arithmetic number, because the mean of its divisors is an integer number (1953473760).

Almost surely, 2^103200010212 is an apocalyptic number.

103200010212 is a gapful number since it is divisible by the number (12) 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 103200010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140650110720).

103200010212 is an abundant number, since it is smaller than the sum of its proper divisors (178100211228).

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

103200010212 is a wasteful number, since it uses less digits than its factorization.

103200010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56582 (or 56567 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 103200010212 its reverse (212010002301), we get a palindrome (315210012513).

The spelling of 103200010212 in words is "one hundred three billion, two hundred million, ten thousand, two hundred twelve".