101011001101011 has 24 divisors (see below), whose sum is σ = 147270093285744. Its totient is φ = 66710537199360.

The previous prime is 101011001100991. The next prime is 101011001101103. The reversal of 101011001101011 is 110101100110101.

It is not a de Polignac number, because 101011001101011 - 2¹⁴ = 101011001084627 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101011001100984 and 101011001101002.

It is not an unprimeable number, because it can be changed into a prime (101011001101511) 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 23 ways as a sum of consecutive naturals, for example, 88763455 + ... + 89894231.

It is an arithmetic number, because the mean of its divisors is an integer number (6136253886906).

Almost surely, 2^{101011001101011} is an apocalyptic number.

101011001101011 is a deficient number, since it is larger than the sum of its proper divisors (46259092184733).

101011001101011 is a wasteful number, since it uses less digits than its factorization.

101011001101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223651 (or 1223648 counting only the distinct ones).

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

Adding to 101011001101011 its reverse (110101100110101), we get a palindrome (211112101211112).

The spelling of 101011001101011 in words is "one hundred one trillion, eleven billion, one million, one hundred one thousand, eleven".