101010101011011 has 12 divisors (see below), whose sum is σ = 145904020895880. Its totient is φ = 67339817344800.

The previous prime is 101010101011009. The next prime is 101010101011021. The reversal of 101010101011011 is 110110101010101.

It is not a de Polignac number, because 101010101011011 - 2¹ = 101010101011009 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 = 101010101010984 and 101010101011002.

It is not an unprimeable number, because it can be changed into a prime (101010101011021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18257265 + ... + 23137586.

It is an arithmetic number, because the mean of its divisors is an integer number (12158668407990).

Almost surely, 2^{101010101011011} is an apocalyptic number.

101010101011011 is a deficient number, since it is larger than the sum of its proper divisors (44893919884869).

101010101011011 is a wasteful number, since it uses less digits than its factorization.

101010101011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41665986 (or 41665983 counting only the distinct ones).

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

Adding to 101010101011011 its reverse (110110101010101), we get a palindrome (211120202021112).

The spelling of 101010101011011 in words is "one hundred one trillion, ten billion, one hundred one million, eleven thousand, eleven".