103002022200000 has 1344 divisors, whose sum is σ = 425498712339456. Its totient is φ = 21362227200000.

The previous prime is 103002022199981. The next prime is 103002022200037. The reversal of 103002022200000 is 2220200301.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28320598182 + ... + 28320601818.

It is an arithmetic number, because the mean of its divisors is an integer number (316591303824).

Almost surely, 2^{103002022200000} is an apocalyptic number.

103002022200000 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 103002022200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212749356169728).

103002022200000 is an abundant number, since it is smaller than the sum of its proper divisors (322496690139456).

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

103002022200000 is an equidigital number, since it uses as much as digits as its factorization.

103002022200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 103002022200000 its reverse (2220200301), we get a palindrome (103004242400301).

The spelling of 103002022200000 in words is "one hundred three trillion, two billion, twenty-two million, two hundred thousand".