1010110101011 has 16 divisors (see below), whose sum is σ = 1116132248448. Its totient is φ = 906471820800.

The previous prime is 1010110100981. The next prime is 1010110101041. The reversal of 1010110101011 is 1101010110101.

It is an interprime number because it is at equal distance from previous prime (1010110100981) and next prime (1010110101041).

It is a cyclic number.

It is not a de Polignac number, because 1010110101011 - 2²² = 1010105906707 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 1010110101011.

It is not an unprimeable number, because it can be changed into a prime (1010110101041) 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, 656576 + ... + 1565666.

It is an arithmetic number, because the mean of its divisors is an integer number (69758265528).

Almost surely, 2^{1010110101011} is an apocalyptic number.

1010110101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010110101011 is a deficient number, since it is larger than the sum of its proper divisors (106022147437).

1010110101011 is a wasteful number, since it uses less digits than its factorization.

1010110101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910402.

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

Adding to 1010110101011 its reverse (1101010110101), we get a palindrome (2111120211112).

The spelling of 1010110101011 in words is "one trillion, ten billion, one hundred ten million, one hundred one thousand, eleven".