101100001010001 has 16 divisors (see below), whose sum is σ = 154059890792448. Its totient is φ = 57770399250000.

The previous prime is 101100001009993. The next prime is 101100001010039. The reversal of 101100001010001 is 100010100001101.

It is not a de Polignac number, because 101100001010001 - 2³ = 101100001009993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100001010051) 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, 41705625 + ... + 44063126.

It is an arithmetic number, because the mean of its divisors is an integer number (9628743174528).

Almost surely, 2^{101100001010001} is an apocalyptic number.

It is an amenable number.

101100001010001 is a deficient number, since it is larger than the sum of its proper divisors (52959889782447).

101100001010001 is an equidigital number, since it uses as much as digits as its factorization.

101100001010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85824892.

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

Adding to 101100001010001 its reverse (100010100001101), we get a palindrome (201110101011102).

The spelling of 101100001010001 in words is "one hundred one trillion, one hundred billion, one million, ten thousand, one".