103202022000 has 320 divisors, whose sum is σ = 414825735168. Its totient is φ = 21444480000.

The previous prime is 103202021981. The next prime is 103202022019. The reversal of 103202022000 is 220202301.

It is an interprime number because it is at equal distance from previous prime (103202021981) and next prime (103202022019).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350310 + ... + 573690.

Almost surely, 2^103202022000 is an apocalyptic number.

103202022000 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 103202022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207412867584).

103202022000 is an abundant number, since it is smaller than the sum of its proper divisors (311623713168).

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

103202022000 is a wasteful number, since it uses less digits than its factorization.

103202022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223425 (or 223409 counting only the distinct ones).

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

Adding to 103202022000 its reverse (220202301), we get a palindrome (103422224301).

The spelling of 103202022000 in words is "one hundred three billion, two hundred two million, twenty-two thousand".