101100010001 has 8 divisors (see below), whose sum is σ = 101275661760. Its totient is φ = 100924460208.

The previous prime is 101100009979. The next prime is 101100010003. The reversal of 101100010001 is 100010001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101100010001 - 2²² = 101095815697 is a prime.

It is a Duffinian number.

101100010001 is a modest number, since divided by 10001 gives 1011 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101100010003) 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 7 ways as a sum of consecutive naturals, for example, 2112995 + ... + 2160311.

It is an arithmetic number, because the mean of its divisors is an integer number (12659457720).

Almost surely, 2^101100010001 is an apocalyptic number.

It is an amenable number.

101100010001 is a deficient number, since it is larger than the sum of its proper divisors (175651759).

101100010001 is an equidigital number, since it uses as much as digits as its factorization.

101100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50983.

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

Adding to 101100010001 its reverse (100010001101), we get a palindrome (201110011102).

It can be divided in two parts, 101 and 100010001, that multiplied together give a palindrome (10101010101).

The spelling of 101100010001 in words is "one hundred one billion, one hundred million, ten thousand, one".