1001002122200 has 96 divisors (see below), whose sum is σ = 2429127740160. Its totient is φ = 382895990400.

The previous prime is 1001002122163. The next prime is 1001002122229. The reversal of 1001002122200 is 22212001001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19879055 + ... + 19929345.

It is an arithmetic number, because the mean of its divisors is an integer number (25303413960).

Almost surely, 2^{1001002122200} is an apocalyptic number.

1001002122200 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 1001002122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214563870080).

1001002122200 is an abundant number, since it is smaller than the sum of its proper divisors (1428125617960).

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

1001002122200 is a wasteful number, since it uses less digits than its factorization.

1001002122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54657 (or 54648 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1001002122200 its reverse (22212001001), we get a palindrome (1023214123201).

The spelling of 1001002122200 in words is "one trillion, one billion, two million, one hundred twenty-two thousand, two hundred".