103022200002000 has 320 divisors, whose sum is σ = 336010561376256. Its totient is φ = 27153758476800.

The previous prime is 103022200001993. The next prime is 103022200002049. The reversal of 103022200002000 is 200002220301.

It is a super-4 number, since 4×103022200002000⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 323054629 + ... + 323373371.

Almost surely, 2^{103022200002000} is an apocalyptic number.

103022200002000 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 103022200002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168005280688128).

103022200002000 is an abundant number, since it is smaller than the sum of its proper divisors (232988361374256).

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

103022200002000 is a wasteful number, since it uses less digits than its factorization.

103022200002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319395 (or 319379 counting only the distinct ones).

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

Adding to 103022200002000 its reverse (200002220301), we get a palindrome (103222202222301).

The spelling of 103022200002000 in words is "one hundred three trillion, twenty-two billion, two hundred million, two thousand".