1002122000200 has 48 divisors (see below), whose sum is σ = 2330001852480. Its totient is φ = 400837066560.

The previous prime is 1002122000183. The next prime is 1002122000207. The reversal of 1002122000200 is 20002212001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1002122000207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10787149 + ... + 10879651.

It is an arithmetic number, because the mean of its divisors is an integer number (48541705260).

Almost surely, 2^{1002122000200} is an apocalyptic number.

1002122000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002122000200 is an abundant number, since it is smaller than the sum of its proper divisors (1327879852280).

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

1002122000200 is a wasteful number, since it uses less digits than its factorization.

1002122000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146686 (or 146677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1002122000200 its reverse (20002212001), we get a palindrome (1022124212201).

The spelling of 1002122000200 in words is "one trillion, two billion, one hundred twenty-two million, two hundred", and thus it is an aban number.