101111000100001 has 4 divisors (see below), whose sum is σ = 102247078752900. Its totient is φ = 99974921447104.

The previous prime is 101111000099981. The next prime is 101111000100017. The reversal of 101111000100001 is 100001000111101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 49684890660001 + 51426109440000 = 7048751^2 + 7171200^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111000100001 - 2¹⁹ = 101110999575713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111000100401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 568039326316 + ... + 568039326493.

It is an arithmetic number, because the mean of its divisors is an integer number (25561769688225).

Almost surely, 2^{101111000100001} is an apocalyptic number.

It is an amenable number.

101111000100001 is a deficient number, since it is larger than the sum of its proper divisors (1136078652899).

101111000100001 is an equidigital number, since it uses as much as digits as its factorization.

101111000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136078652898.

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

Adding to 101111000100001 its reverse (100001000111101), we get a palindrome (201112000211102).

The spelling of 101111000100001 in words is "one hundred one trillion, one hundred eleven billion, one hundred thousand, one".