1002223431100 has 72 divisors (see below), whose sum is σ = 2248809067008. Its totient is φ = 387295838400.

The previous prime is 1002223431073. The next prime is 1002223431107. The reversal of 1002223431100 is 11343222001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002223431107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1544319 + ... + 2095081.

It is an arithmetic number, because the mean of its divisors is an integer number (31233459264).

Almost surely, 2^{1002223431100} is an apocalyptic number.

1002223431100 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 1002223431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124404533504).

1002223431100 is an abundant number, since it is smaller than the sum of its proper divisors (1246585635908).

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

1002223431100 is a wasteful number, since it uses less digits than its factorization.

1002223431100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551395 (or 551388 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1002223431100 its reverse (11343222001), we get a palindrome (1013566653101).

The spelling of 1002223431100 in words is "one trillion, two billion, two hundred twenty-three million, four hundred thirty-one thousand, one hundred".