1001100101 has 16 divisors (see below), whose sum is σ = 1074393600. Its totient is φ = 930039408.

The previous prime is 1001100091. The next prime is 1001100127. The reversal of 1001100101 is 1010011001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001100101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216920 + ... + 221486.

It is an arithmetic number, because the mean of its divisors is an integer number (67149600).

Almost surely, 2^1001100101 is an apocalyptic number.

It is an amenable number.

1001100101 is a deficient number, since it is larger than the sum of its proper divisors (73293499).

1001100101 is a wasteful number, since it uses less digits than its factorization.

1001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808.

The product of its (nonzero) digits is 1, while the sum is 5.

The square root of 1001100101 is about 31640.1659445712. The cubic root of 1001100101 is about 1000.3665659463.

Adding to 1001100101 its reverse (1010011001), we get a palindrome (2011111102).

The spelling of 1001100101 in words is "one billion, one million, one hundred thousand, one hundred one".