101113311221011 has 16 divisors (see below), whose sum is σ = 103955482929760. Its totient is φ = 98293928302080.

The previous prime is 101113311220931. The next prime is 101113311221051. The reversal of 101113311221011 is 110122113311101.

It is a cyclic number.

It is not a de Polignac number, because 101113311221011 - 2⁹ = 101113311220499 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101113311221011.

It is not an unprimeable number, because it can be changed into a prime (101113311221051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14662945 + ... + 20426173.

It is an arithmetic number, because the mean of its divisors is an integer number (6497217683110).

Almost surely, 2^{101113311221011} is an apocalyptic number.

101113311221011 is a deficient number, since it is larger than the sum of its proper divisors (2842171708749).

101113311221011 is a wasteful number, since it uses less digits than its factorization.

101113311221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765206.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 101113311221011 its reverse (110122113311101), we get a palindrome (211235424532112).

The spelling of 101113311221011 in words is "one hundred one trillion, one hundred thirteen billion, three hundred eleven million, two hundred twenty-one thousand, eleven".