101101011100001 has 48 divisors (see below), whose sum is σ = 116114226580800. Its totient is φ = 87849614160000.

The previous prime is 101101011099967. The next prime is 101101011100039. The reversal of 101101011100001 is 100001110101101.

It is not a de Polignac number, because 101101011100001 - 2¹⁴ = 101101011083617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101011100601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3221916530 + ... + 3221947908.

It is an arithmetic number, because the mean of its divisors is an integer number (2419046387100).

Almost surely, 2^{101101011100001} is an apocalyptic number.

101101011100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101011100001 is a deficient number, since it is larger than the sum of its proper divisors (15013215480799).

101101011100001 is a wasteful number, since it uses less digits than its factorization.

101101011100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40622 (or 40611 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101101011100001 its reverse (100001110101101), we get a palindrome (201102121201102).

The spelling of 101101011100001 in words is "one hundred one trillion, one hundred one billion, eleven million, one hundred thousand, one".