101111221111011 has 256 divisors, whose sum is σ = 161693870284800. Its totient is φ = 55757876428800.

The previous prime is 101111221111001. The next prime is 101111221111013. The reversal of 101111221111011 is 110111122111101.

It is a happy number.

It is not a de Polignac number, because 101111221111011 - 2¹³ = 101111221102819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111221111013) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21113219805 + ... + 21113224593.

It is an arithmetic number, because the mean of its divisors is an integer number (631616680800).

Almost surely, 2^{101111221111011} is an apocalyptic number.

101111221111011 is a deficient number, since it is larger than the sum of its proper divisors (60582649173789).

101111221111011 is a wasteful number, since it uses less digits than its factorization.

101111221111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 101111221111011 its reverse (110111122111101), we get a palindrome (211222343222112).

It can be divided in two parts, 101111 and 221111011, that added together give a palindrome (221212122).

The spelling of 101111221111011 in words is "one hundred one trillion, one hundred eleven billion, two hundred twenty-one million, one hundred eleven thousand, eleven".