1004224452100 has 81 divisors (see below), whose sum is σ = 2278555827807. Its totient is φ = 384136822080.

The previous prime is 1004224452043. The next prime is 1004224452137. The reversal of 1004224452100 is 12544224001.

The square root of 1004224452100 is 1002110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 332585196804 + 671639255296 = 576702^2 + 819536^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 230483122 + ... + 230487478.

Almost surely, 2^{1004224452100} is an apocalyptic number.

1004224452100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1004224452100 is the 1002110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004224452100

1004224452100 is an abundant number, since it is smaller than the sum of its proper divisors (1274331375707).

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

1004224452100 is an frugal number, since it uses more digits than its factorization.

1004224452100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8774 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Multiplying 1004224452100 by its sum of digits (25), we get a square (25105611302500 = 5010550²).

1004224452100 divided by its sum of digits (25) gives a square (40168978084 = 200422²).

Adding to 1004224452100 its reverse (12544224001), we get a palindrome (1016768676101).

The spelling of 1004224452100 in words is "one trillion, four billion, two hundred twenty-four million, four hundred fifty-two thousand, one hundred".