1002231120200 has 96 divisors (see below), whose sum is σ = 2411938204200. Its totient is φ = 386843842560.

The previous prime is 1002231120199. The next prime is 1002231120211. The reversal of 1002231120200 is 20211322001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 54813110884 + 947418009316 = 234122^2 + 973354^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10118114 + ... + 10216686.

Almost surely, 2^{1002231120200} is an apocalyptic number.

1002231120200 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 1002231120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205969102100).

1002231120200 is an abundant number, since it is smaller than the sum of its proper divisors (1409707084000).

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

1002231120200 is a wasteful number, since it uses less digits than its factorization.

1002231120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100371 (or 100362 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1002231120200 its reverse (20211322001), we get a palindrome (1022442442201).

The spelling of 1002231120200 in words is "one trillion, two billion, two hundred thirty-one million, one hundred twenty thousand, two hundred".