103021022302002 has 288 divisors, whose sum is σ = 265086707886000. Its totient is φ = 28825561497600.

The previous prime is 103021022301947. The next prime is 103021022302067. The reversal of 103021022302002 is 200203220120301.

103021022302002 is a `hidden beast` number, since 1 + 0 + 30 + 210 + 223 + 0 + 200 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23458707609561 + 79562314692441 = 4843419^2 + 8919771^2 .

It is a super-2 number, since 2×103021022302002² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23753980378 + ... + 23753984714.

Almost surely, 2^{103021022302002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103021022302002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132543353943000).

103021022302002 is an abundant number, since it is smaller than the sum of its proper divisors (162065685583998).

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

103021022302002 is a wasteful number, since it uses less digits than its factorization.

103021022302002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7306 (or 7296 counting only the distinct ones).

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

Adding to 103021022302002 its reverse (200203220120301), we get a palindrome (303224242422303).

The spelling of 103021022302002 in words is "one hundred three trillion, twenty-one billion, twenty-two million, three hundred two thousand, two".