1000101011011 has 16 divisors (see below), whose sum is σ = 1038499043040. Its totient is φ = 961965303040.

The previous prime is 1000101011009. The next prime is 1000101011017. The reversal of 1000101011011 is 1101101010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1000101011011 - 2¹ = 1000101011009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000101010985 and 1000101011003.

It is not an unprimeable number, because it can be changed into a prime (1000101011017) 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, 46577100 + ... + 46598566.

It is an arithmetic number, because the mean of its divisors is an integer number (64906190190).

Almost surely, 2^{1000101011011} is an apocalyptic number.

1000101011011 is a deficient number, since it is larger than the sum of its proper divisors (38398032029).

1000101011011 is a wasteful number, since it uses less digits than its factorization.

1000101011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27494.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1000101011011 its reverse (1101101010001), we get a palindrome (2101202021012).

The spelling of 1000101011011 in words is "one trillion, one hundred one million, eleven thousand, eleven".