10101101101011 has 16 divisors (see below), whose sum is σ = 15065027748000. Its totient is φ = 6688872314784.

The previous prime is 10101101100941. The next prime is 10101101101051. The reversal of 10101101101011 is 11010110110101.

It is a de Polignac number, because none of the positive numbers 2^k-10101101101011 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 = 10101101100984 and 10101101101002.

It is not an unprimeable number, because it can be changed into a prime (10101101101051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255414956 + ... + 1255423001.

It is an arithmetic number, because the mean of its divisors is an integer number (941564234250).

Almost surely, 2^{10101101101011} is an apocalyptic number.

10101101101011 is a deficient number, since it is larger than the sum of its proper divisors (4963926646989).

10101101101011 is a wasteful number, since it uses less digits than its factorization.

10101101101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510838115 (or 2510838109 counting only the distinct ones).

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

Adding to 10101101101011 its reverse (11010110110101), we get a palindrome (21111211211112).

The spelling of 10101101101011 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred one thousand, eleven".