101000110001 has 16 divisors (see below), whose sum is σ = 115745479680. Its totient is φ = 86334186960.

The previous prime is 101000109983. The next prime is 101000110019. The reversal of 101000110001 is 100011000101.

It is an interprime number because it is at equal distance from previous prime (101000109983) and next prime (101000110019).

It is not a de Polignac number, because 101000110001 - 2¹⁴ = 101000093617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000110021) 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 15 ways as a sum of consecutive naturals, for example, 5346110 + ... + 5364968.

It is an arithmetic number, because the mean of its divisors is an integer number (7234092480).

Almost surely, 2^101000110001 is an apocalyptic number.

It is an amenable number.

101000110001 is a deficient number, since it is larger than the sum of its proper divisors (14745369679).

101000110001 is a wasteful number, since it uses less digits than its factorization.

101000110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20924.

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

Adding to 101000110001 its reverse (100011000101), we get a palindrome (201011110102).

The spelling of 101000110001 in words is "one hundred one billion, one hundred ten thousand, one".