1001100110101 has 16 divisors (see below), whose sum is σ = 1296971804800. Its totient is φ = 750390827328.

The previous prime is 1001100110081. The next prime is 1001100110113. The reversal of 1001100110101 is 1010110011001.

It is a happy number.

1001100110101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001100110101 - 2⁵ = 1001100110069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100119101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289500906 + ... + 289504363.

It is an arithmetic number, because the mean of its divisors is an integer number (81060737800).

Almost surely, 2^{1001100110101} is an apocalyptic number.

It is an amenable number.

1001100110101 is a deficient number, since it is larger than the sum of its proper divisors (295871694699).

1001100110101 is a wasteful number, since it uses less digits than its factorization.

1001100110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579005308.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1001100110101 its reverse (1010110011001), we get a palindrome (2011210121102).

It can be divided in two parts, 10011001 and 10101, that multiplied together give a palindrome (101121121101).

The spelling of 1001100110101 in words is "one trillion, one billion, one hundred million, one hundred ten thousand, one hundred one".