101321111212011 has 64 divisors (see below), whose sum is σ = 150882039221760. Its totient is φ = 67198857586560.

The previous prime is 101321111211979. The next prime is 101321111212019. The reversal of 101321111212011 is 110212111123101.

101321111212011 is a `hidden beast` number, since 10 + 1 + 321 + 11 + 121 + 201 + 1 = 666.

It is not a de Polignac number, because 101321111212011 - 2⁵ = 101321111211979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101321111212019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12400082956 + ... + 12400091126.

It is an arithmetic number, because the mean of its divisors is an integer number (2357531862840).

Almost surely, 2^{101321111212011} is an apocalyptic number.

101321111212011 is a deficient number, since it is larger than the sum of its proper divisors (49560928009749).

101321111212011 is a wasteful number, since it uses less digits than its factorization.

101321111212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11161 (or 11155 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 101321111212011 its reverse (110212111123101), we get a palindrome (211533222335112).

The spelling of 101321111212011 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred eleven million, two hundred twelve thousand, eleven".