101000111001011 has 8 divisors (see below), whose sum is σ = 105511592853024. Its totient is φ = 96498643538880.

The previous prime is 101000111000993. The next prime is 101000111001151. The reversal of 101000111001011 is 110100111000101.

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 101000111001011 - 2¹⁰ = 101000110999987 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101000111001011.

It is not an unprimeable number, because it can be changed into a prime (101000161001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2503576850 + ... + 2503617191.

It is an arithmetic number, because the mean of its divisors is an integer number (13188949106628).

Almost surely, 2^{101000111001011} is an apocalyptic number.

101000111001011 is a deficient number, since it is larger than the sum of its proper divisors (4511481852013).

101000111001011 is an equidigital number, since it uses as much as digits as its factorization.

101000111001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007194941.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101000111001011 its reverse (110100111000101), we get a palindrome (211100222001112).

The spelling of 101000111001011 in words is "one hundred one trillion, one hundred eleven million, one thousand, eleven".