101000221211221 has 8 divisors (see below), whose sum is σ = 106941902094360. Its totient is φ = 95058594928128.

The previous prime is 101000221211203. The next prime is 101000221211231. The reversal of 101000221211221 is 122112122000101.

It can be written as a sum of positive squares in 4 ways, for example, as 16413315282225 + 84586905928996 = 4051335^2 + 9197114^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101000221211221 - 2¹⁷ = 101000221080149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000221211195 and 101000221211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000221211231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9810696 + ... + 17269921.

It is an arithmetic number, because the mean of its divisors is an integer number (13367737761795).

Almost surely, 2^{101000221211221} is an apocalyptic number.

It is an amenable number.

101000221211221 is a deficient number, since it is larger than the sum of its proper divisors (5941680883139).

101000221211221 is a wasteful number, since it uses less digits than its factorization.

101000221211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27300023.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101000221211221 its reverse (122112122000101), we get a palindrome (223112343211322).

The spelling of 101000221211221 in words is "one hundred one trillion, two hundred twenty-one million, two hundred eleven thousand, two hundred twenty-one".