101321311101111 has 32 divisors (see below), whose sum is σ = 161859746764800. Its totient is φ = 62431616583360.

The previous prime is 101321311101061. The next prime is 101321311101119. The reversal of 101321311101111 is 111101113123101.

It is a happy number.

101321311101111 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 311 + 10 + 11 + 11 = 666.

It is not a de Polignac number, because 101321311101111 - 2¹⁵ = 101321311068343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321311101119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2408606151 + ... + 2408648216.

It is an arithmetic number, because the mean of its divisors is an integer number (5058117086400).

Almost surely, 2^{101321311101111} is an apocalyptic number.

101321311101111 is a deficient number, since it is larger than the sum of its proper divisors (60538435663689).

101321311101111 is a wasteful number, since it uses less digits than its factorization.

101321311101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817254436 (or 4817254430 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

Adding to 101321311101111 its reverse (111101113123101), we get a palindrome (212422424224212).

The spelling of 101321311101111 in words is "one hundred one trillion, three hundred twenty-one billion, three hundred eleven million, one hundred one thousand, one hundred eleven".