101100000001 has 16 divisors (see below), whose sum is σ = 135742658688. Its totient is φ = 72719280000.

The previous prime is 101099999993. The next prime is 101100000007. The reversal of 101100000001 is 100000001101.

It is a cyclic number.

It is not a de Polignac number, because 101100000001 - 2³ = 101099999993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100000007) 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, 50498500 + ... + 50500501.

It is an arithmetic number, because the mean of its divisors is an integer number (8483916168).

Almost surely, 2^101100000001 is an apocalyptic number.

101100000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100000001 is a deficient number, since it is larger than the sum of its proper divisors (34642658687).

101100000001 is a wasteful number, since it uses less digits than its factorization.

101100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100999032.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101100000001 its reverse (100000001101), we get a palindrome (201100001102).

It can be divided in two parts, 101 and 100000001, that multiplied together give a palindrome (10100000101).

The spelling of 101100000001 in words is "one hundred one billion, one hundred million, one", and thus it is an aban number.