1006601120100 has 54 divisors (see below), whose sum is σ = 3155135291490. Its totient is φ = 268426965120.

The previous prime is 1006601120087. The next prime is 1006601120101. The reversal of 1006601120100 is 10211066001.

1006601120100 is a `hidden beast` number, since 1 + 0 + 0 + 660 + 1 + 1 + 2 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11139958116 + 995461161984 = 105546^2 + 997728^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1006601120101) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 559221945 + ... + 559223744.

Almost surely, 2^{1006601120100} is an apocalyptic number.

1006601120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006601120100 is an abundant number, since it is smaller than the sum of its proper divisors (2148534171390).

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

1006601120100 is a wasteful number, since it uses less digits than its factorization.

1006601120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118445709 (or 1118445699 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1006601120100 its reverse (10211066001), we get a palindrome (1016812186101).

It can be divided in two parts, 1006 and 601120100, that added together give a palindrome (601121106).

The spelling of 1006601120100 in words is "one trillion, six billion, six hundred one million, one hundred twenty thousand, one hundred".