103012221330000 has 1200 divisors, whose sum is σ = 380071359233280. Its totient is φ = 26005612032000.

The previous prime is 103012221329981. The next prime is 103012221330017. The reversal of 103012221330000 is 33122210301.

103012221330000 is a `hidden beast` number, since 1 + 0 + 30 + 122 + 213 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×103012221330000² (a number of 29 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 28015288162 + ... + 28015291838.

Almost surely, 2^{103012221330000} is an apocalyptic number.

103012221330000 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 103012221330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190035679616640).

103012221330000 is an abundant number, since it is smaller than the sum of its proper divisors (277059137903280).

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

103012221330000 is a wasteful number, since it uses less digits than its factorization.

103012221330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103012221330000 its reverse (33122210301), we get a palindrome (103045343540301).

The spelling of 103012221330000 in words is "one hundred three trillion, twelve billion, two hundred twenty-one million, three hundred thirty thousand".