101000110101221 has 8 divisors (see below), whose sum is σ = 101594967674904. Its totient is φ = 100406705172480.

The previous prime is 101000110101173. The next prime is 101000110101259. The reversal of 101000110101221 is 122101011000101.

It can be written as a sum of positive squares in 4 ways, for example, as 72211670085025 + 28788440016196 = 8497745^2 + 5365486^2 .

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 101000110101221 - 2⁴² = 96602063590117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000110101721) 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 7 ways as a sum of consecutive naturals, for example, 363021770 + ... + 363299883.

It is an arithmetic number, because the mean of its divisors is an integer number (12699370959363).

Almost surely, 2^{101000110101221} is an apocalyptic number.

It is an amenable number.

101000110101221 is a deficient number, since it is larger than the sum of its proper divisors (594857573683).

101000110101221 is an equidigital number, since it uses as much as digits as its factorization.

101000110101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726322471.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101000110101221 its reverse (122101011000101), we get a palindrome (223101121101322).

The spelling of 101000110101221 in words is "one hundred one trillion, one hundred ten million, one hundred one thousand, two hundred twenty-one".