101000001000111 has 4 divisors (see below), whose sum is σ = 134666668000152. Its totient is φ = 67333334000072.

The previous prime is 101000001000091. The next prime is 101000001000127. The reversal of 101000001000111 is 111000100000101.

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

It is a cyclic number.

It is not a de Polignac number, because 101000001000111 - 2⁶ = 101000001000047 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000001000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000001000131) 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, 16833333500016 + ... + 16833333500021.

It is an arithmetic number, because the mean of its divisors is an integer number (33666667000038).

Almost surely, 2^{101000001000111} is an apocalyptic number.

101000001000111 is a deficient number, since it is larger than the sum of its proper divisors (33666667000041).

101000001000111 is an equidigital number, since it uses as much as digits as its factorization.

101000001000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666667000040.

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

Adding to 101000001000111 its reverse (111000100000101), we get a palindrome (212000101000212).

It can be divided in two parts, 10100000 and 1000111, that added together give a palindrome (11100111).

The spelling of 101000001000111 in words is "one hundred one trillion, one million, one hundred eleven", and thus it is an aban number.