101110001100001 has 16 divisors (see below), whose sum is σ = 104935301879760. Its totient is φ = 97307507404800.

The previous prime is 101110001099957. The next prime is 101110001100029. The reversal of 101110001100001 is 100001100011101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 285609011776 + 100824392088225 = 534424^2 + 10041135^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110001100001 - 2¹³ = 101110001091809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110001100091) 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, 23319151 + ... + 27313051.

It is an arithmetic number, because the mean of its divisors is an integer number (6558456367485).

Almost surely, 2^{101110001100001} is an apocalyptic number.

It is an amenable number.

101110001100001 is a deficient number, since it is larger than the sum of its proper divisors (3825300779759).

101110001100001 is a wasteful number, since it uses less digits than its factorization.

101110001100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996756.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101110001100001 its reverse (100001100011101), we get a palindrome (201111101111102).

The spelling of 101110001100001 in words is "one hundred one trillion, one hundred ten billion, one million, one hundred thousand, one".