103001200210000 has 400 divisors, whose sum is σ = 265831689879360. Its totient is φ = 38515502080000.

The previous prime is 103001200209997. The next prime is 103001200210021. The reversal of 103001200210000 is 12002100301.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15868306755 + ... + 15868313245.

Almost surely, 2^{103001200210000} is an apocalyptic number.

103001200210000 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 103001200210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132915844939680).

103001200210000 is an abundant number, since it is smaller than the sum of its proper divisors (162830489669360).

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

103001200210000 is a wasteful number, since it uses less digits than its factorization.

103001200210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 103001200210000 its reverse (12002100301), we get a palindrome (103013202310301).

The spelling of 103001200210000 in words is "one hundred three trillion, one billion, two hundred million, two hundred ten thousand".