101333001000221 has 8 divisors (see below), whose sum is σ = 101374219510200. Its totient is φ = 101291787942400.

The previous prime is 101333001000169. The next prime is 101333001000227. The reversal of 101333001000221 is 122000100333101.

It can be written as a sum of positive squares in 4 ways, for example, as 73398869174596 + 27934131825625 = 8567314^2 + 5285275^2 .

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 101333001000221 - 2¹⁸ = 101333000738077 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101333001000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333001000227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36024545 + ... + 38735433.

It is an arithmetic number, because the mean of its divisors is an integer number (12671777438775).

Almost surely, 2^{101333001000221} is an apocalyptic number.

It is an amenable number.

101333001000221 is a deficient number, since it is larger than the sum of its proper divisors (41218509979).

101333001000221 is a wasteful number, since it uses less digits than its factorization.

101333001000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726079.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101333001000221 its reverse (122000100333101), we get a palindrome (223333101333322).

The spelling of 101333001000221 in words is "one hundred one trillion, three hundred thirty-three billion, one million, two hundred twenty-one", and thus it is an aban number.