101001001000111 has 2 divisors, whose sum is σ = 101001001000112. Its totient is φ = 101001001000110.

The previous prime is 101001001000033. The next prime is 101001001000117. The reversal of 101001001000111 is 111000100100101.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (111000100100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101001001000111 - 2²⁷ = 101000866782383 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001001000094 and 101001001000103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001001000117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500500055 + 50500500500056.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500500056).

Almost surely, 2^{101001001000111} is an apocalyptic number.

101001001000111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001001000111 is an equidigital number, since it uses as much as digits as its factorization.

101001001000111 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101001001000111 its reverse (111000100100101), we get a palindrome (212001101100212).

The spelling of 101001001000111 in words is "one hundred one trillion, one billion, one million, one hundred eleven", and thus it is an aban number.