101010101102011 has 16 divisors (see below), whose sum is σ = 103393959776640. Its totient is φ = 98655641884800.

The previous prime is 101010101101957. The next prime is 101010101102059. The reversal of 101010101102011 is 110201101010101.

It is a cyclic number.

It is not a de Polignac number, because 101010101102011 - 2¹⁷ = 101010100970939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101010101102111) 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 15 ways as a sum of consecutive naturals, for example, 3245805 + ... + 14579281.

It is an arithmetic number, because the mean of its divisors is an integer number (6462122486040).

Almost surely, 2^{101010101102011} is an apocalyptic number.

101010101102011 is a deficient number, since it is larger than the sum of its proper divisors (2383858674629).

101010101102011 is a wasteful number, since it uses less digits than its factorization.

101010101102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334774.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101010101102011 its reverse (110201101010101), we get a palindrome (211211202112112).

The spelling of 101010101102011 in words is "one hundred one trillion, ten billion, one hundred one million, one hundred two thousand, eleven".