101011101000111 has 20 divisors (see below), whose sum is σ = 150905211713872. Its totient is φ = 67335340458528.

The previous prime is 101011101000107. The next prime is 101011101000143. The reversal of 101011101000111 is 111000101110101.

It is not a de Polignac number, because 101011101000111 - 2² = 101011101000107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011101000093 and 101011101000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011101020111) 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 19 ways as a sum of consecutive naturals, for example, 48922510 + ... + 50945403.

Almost surely, 2^{101011101000111} is an apocalyptic number.

101011101000111 is a deficient number, since it is larger than the sum of its proper divisors (49894110713761).

101011101000111 is an equidigital number, since it uses as much as digits as its factorization.

101011101000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99880412 (or 99880403 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101011101000111 its reverse (111000101110101), we get a palindrome (212011202110212).

The spelling of 101011101000111 in words is "one hundred one trillion, eleven billion, one hundred one million, one hundred eleven", and thus it is an aban number.