101101100000001 has 16 divisors (see below), whose sum is σ = 135013806487488. Its totient is φ = 67294566604800.

The previous prime is 101101099999993. The next prime is 101101100000009. The reversal of 101101100000001 is 100000001101101.

It is an interprime number because it is at equal distance from previous prime (101101099999993) and next prime (101101100000009).

It is not a de Polignac number, because 101101100000001 - 2³ = 101101099999993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101100000009) 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, 139666086 + ... + 140388096.

It is an arithmetic number, because the mean of its divisors is an integer number (8438362905468).

Almost surely, 2^{101101100000001} is an apocalyptic number.

It is an amenable number.

101101100000001 is a deficient number, since it is larger than the sum of its proper divisors (33912706487487).

101101100000001 is an equidigital number, since it uses as much as digits as its factorization.

101101100000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795472.

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

Adding to 101101100000001 its reverse (100000001101101), we get a palindrome (201101101101102).

It can be divided in two parts, 101101 and 100000001, that multiplied together give a palindrome (10110100101101).

The spelling of 101101100000001 in words is "one hundred one trillion, one hundred one billion, one hundred million, one", and thus it is an aban number.