101011222011011 has 16 divisors (see below), whose sum is σ = 115313682081024. Its totient is φ = 87654668058624.

The previous prime is 101011222010969. The next prime is 101011222011013. The reversal of 101011222011011 is 110110222110101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011222011011 is a prime.

It is a super-3 number, since 3×101011222011011³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101011222011013) 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, 264620606 + ... + 265002051.

It is an arithmetic number, because the mean of its divisors is an integer number (7207105130064).

Almost surely, 2^{101011222011011} is an apocalyptic number.

101011222011011 is a deficient number, since it is larger than the sum of its proper divisors (14302460070013).

101011222011011 is a wasteful number, since it uses less digits than its factorization.

101011222011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529623550.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101011222011011 its reverse (110110222110101), we get a palindrome (211121444121112).

The spelling of 101011222011011 in words is "one hundred one trillion, eleven billion, two hundred twenty-two million, eleven thousand, eleven".