1005222504100 has 72 divisors (see below), whose sum is σ = 2191822214400. Its totient is φ = 400157587200.

The previous prime is 1005222504019. The next prime is 1005222504131. The reversal of 1005222504100 is 14052225001.

1005222504100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 41119681 + ... + 41144119.

It is an arithmetic number, because the mean of its divisors is an integer number (30441975200).

Almost surely, 2^{1005222504100} is an apocalyptic number.

1005222504100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005222504100 is an abundant number, since it is smaller than the sum of its proper divisors (1186599710300).

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

1005222504100 is a wasteful number, since it uses less digits than its factorization.

1005222504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26413 (or 26406 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 1005222504100 its reverse (14052225001), we get a palindrome (1019274729101).

The spelling of 1005222504100 in words is "one trillion, five billion, two hundred twenty-two million, five hundred four thousand, one hundred".