101100110001 has 32 divisors (see below), whose sum is σ = 151828992000. Its totient is φ = 59284305600.

The previous prime is 101100109993. The next prime is 101100110009. The reversal of 101100110001 is 100011001101.

It is an interprime number because it is at equal distance from previous prime (101100109993) and next prime (101100110009).

It is not a de Polignac number, because 101100110001 - 2³ = 101100109993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100110009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9624250 + ... + 9634748.

It is an arithmetic number, because the mean of its divisors is an integer number (4744656000).

Almost surely, 2^101100110001 is an apocalyptic number.

101100110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100110001 is a deficient number, since it is larger than the sum of its proper divisors (50728881999).

101100110001 is a wasteful number, since it uses less digits than its factorization.

101100110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19957.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101100110001 its reverse (100011001101), we get a palindrome (201111111102).

It can be divided in two parts, 10 and 1100110001, that added together give a palindrome (1100110011).

The spelling of 101100110001 in words is "one hundred one billion, one hundred million, one hundred ten thousand, one".