1005561010100 has 36 divisors (see below), whose sum is σ = 2182478479104. Its totient is φ = 402148627680.

The previous prime is 1005561010093. The next prime is 1005561010133. The reversal of 1005561010100 is 10101655001.

It is a super-3 number, since 3×1005561010100³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412244 + ... + 1476843.

Almost surely, 2^{1005561010100} is an apocalyptic number.

1005561010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005561010100 is an abundant number, since it is smaller than the sum of its proper divisors (1176917469004).

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

1005561010100 is a wasteful number, since it uses less digits than its factorization.

1005561010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894424 (or 1894417 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 1005561010100 its reverse (10101655001), we get a palindrome (1015662665101).

The spelling of 1005561010100 in words is "one trillion, five billion, five hundred sixty-one million, ten thousand, one hundred".