101011011011011 has 16 divisors (see below), whose sum is σ = 103251702408480. Its totient is φ = 98796701203200.

The previous prime is 101011011010997. The next prime is 101011011011041. The reversal of 101011011011011 is 110110110110101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101011011011011 - 2⁷ = 101011011010883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011011011041) 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, 4684456 + ... + 14965498.

It is an arithmetic number, because the mean of its divisors is an integer number (6453231400530).

Almost surely, 2^{101011011011011} is an apocalyptic number.

101011011011011 is a deficient number, since it is larger than the sum of its proper divisors (2240691397469).

101011011011011 is a wasteful number, since it uses less digits than its factorization.

101011011011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10282326.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101011011011011 its reverse (110110110110101), we get a palindrome (211121121121112).

The spelling of 101011011011011 in words is "one hundred one trillion, eleven billion, eleven million, eleven thousand, eleven".