101011000000111 has 8 divisors (see below), whose sum is σ = 101029909117280. Its totient is φ = 100992092658912.

The previous prime is 101011000000039. The next prime is 101011000000277. The reversal of 101011000000111 is 111000000110101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101011000000111 - 2⁹ = 101010999999599 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011000000094 and 101011000000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011000000811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116168281 + ... + 117034573.

It is an arithmetic number, because the mean of its divisors is an integer number (12628738639660).

Almost surely, 2^{101011000000111} is an apocalyptic number.

101011000000111 is a deficient number, since it is larger than the sum of its proper divisors (18909117169).

101011000000111 is an equidigital number, since it uses as much as digits as its factorization.

101011000000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887985.

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

Adding to 101011000000111 its reverse (111000000110101), we get a palindrome (212011000110212).

The spelling of 101011000000111 in words is "one hundred one trillion, eleven billion, one hundred eleven", and thus it is an aban number.