101322110111121 has 12 divisors (see below), whose sum is σ = 147803210130420. Its totient is φ = 66879280600800.

The previous prime is 101322110111119. The next prime is 101322110111197. The reversal of 101322110111121 is 121111011223101.

101322110111121 is a `hidden beast` number, since 1 + 0 + 1 + 322 + 110 + 111 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96178013947521 + 5144096163600 = 9807039^2 + 2268060^2 .

It is not a de Polignac number, because 101322110111121 - 2¹ = 101322110111119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101322110111094 and 101322110111103.

It is not an unprimeable number, because it can be changed into a prime (101322110111221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55732732926 + ... + 55732734743.

It is an arithmetic number, because the mean of its divisors is an integer number (12316934177535).

Almost surely, 2^{101322110111121} is an apocalyptic number.

It is an amenable number.

101322110111121 is a deficient number, since it is larger than the sum of its proper divisors (46481100019299).

101322110111121 is a wasteful number, since it uses less digits than its factorization.

101322110111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111465467776 (or 111465467773 counting only the distinct ones).

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

Adding to 101322110111121 its reverse (121111011223101), we get a palindrome (222433121334222).

The spelling of 101322110111121 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred ten million, one hundred eleven thousand, one hundred twenty-one".