101113311221101 has 2 divisors, whose sum is σ = 101113311221102. Its totient is φ = 101113311221100.

The previous prime is 101113311221099. The next prime is 101113311221107. The reversal of 101113311221101 is 101122113311101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100470572297001 + 642738924100 = 10023501^2 + 801710^2 .

It is a cyclic number.

It is not a de Polignac number, because 101113311221101 - 2¹ = 101113311221099 is a prime.

It is a super-3 number, since 3×101113311221101³ (a number of 43 digits) contains 333 as substring.

Together with 101113311221099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101113311221107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556655610550 + 50556655610551.

It is an arithmetic number, because the mean of its divisors is an integer number (50556655610551).

Almost surely, 2^{101113311221101} is an apocalyptic number.

It is an amenable number.

101113311221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113311221101 is an equidigital number, since it uses as much as digits as its factorization.

101113311221101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101113311221101 its reverse (101122113311101), we get a palindrome (202235424532202).

The spelling of 101113311221101 in words is "one hundred one trillion, one hundred thirteen billion, three hundred eleven million, two hundred twenty-one thousand, one hundred one".