101112002010221 has 4 divisors (see below), whose sum is σ = 101115362471100. Its totient is φ = 101108641549344.

The previous prime is 101112002010209. The next prime is 101112002010247. The reversal of 101112002010221 is 122010200211101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 69006066246121 + 32105935764100 = 8306989^2 + 5666210^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112002010221 - 2⁶ = 101112002010157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112002010196 and 101112002010205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112002015221) 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 in 3 ways as a sum of consecutive naturals, for example, 1680185306 + ... + 1680245483.

It is an arithmetic number, because the mean of its divisors is an integer number (25278840617775).

Almost surely, 2^{101112002010221} is an apocalyptic number.

It is an amenable number.

101112002010221 is a deficient number, since it is larger than the sum of its proper divisors (3360460879).

101112002010221 is an equidigital number, since it uses as much as digits as its factorization.

101112002010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360460878.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101112002010221 its reverse (122010200211101), we get a palindrome (223122202221322).

The spelling of 101112002010221 in words is "one hundred one trillion, one hundred twelve billion, two million, ten thousand, two hundred twenty-one".