1005030220100 has 36 divisors (see below), whose sum is σ = 2182126915668. Its totient is φ = 401788800000.

The previous prime is 1005030220097. The next prime is 1005030220133. The reversal of 1005030220100 is 10220305001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 427360297984 + 577669922116 = 653728^2 + 760046^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2610101 + ... + 2970300.

Almost surely, 2^{1005030220100} is an apocalyptic number.

1005030220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005030220100 is an abundant number, since it is smaller than the sum of its proper divisors (1177096695568).

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

1005030220100 is a wasteful number, since it uses less digits than its factorization.

1005030220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582216 (or 5582209 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 1005030220100 its reverse (10220305001), we get a palindrome (1015250525101).

The spelling of 1005030220100 in words is "one trillion, five billion, thirty million, two hundred twenty thousand, one hundred".