103002221322000 has 1920 divisors, whose sum is σ = 500916387299328. Its totient is φ = 19756576512000.

The previous prime is 103002221321947. The next prime is 103002221322083. The reversal of 103002221322000 is 223122200301.

103002221322000 is a `hidden beast` number, since 1 + 0 + 300 + 22 + 21 + 322 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 486380137 + ... + 486591863.

Almost surely, 2^{103002221322000} is an apocalyptic number.

103002221322000 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 103002221322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250458193649664).

103002221322000 is an abundant number, since it is smaller than the sum of its proper divisors (397914165977328).

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

103002221322000 is a wasteful number, since it uses less digits than its factorization.

103002221322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211796 (or 211768 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103002221322000 its reverse (223122200301), we get a palindrome (103225343522301).

The spelling of 103002221322000 in words is "one hundred three trillion, two billion, two hundred twenty-one million, three hundred twenty-two thousand".