101040210221 has 8 divisors (see below), whose sum is σ = 102262001688. Its totient is φ = 99822760000.

The previous prime is 101040210203. The next prime is 101040210253. The reversal of 101040210221 is 122012040101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63166768900 + 37873441321 = 251330^2 + 194611^2 .

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 101040210221 - 2⁶ = 101040210157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101040210196 and 101040210205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101040260221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1038470 + ... + 1131591.

It is an arithmetic number, because the mean of its divisors is an integer number (12782750211).

Almost surely, 2^101040210221 is an apocalyptic number.

It is an amenable number.

101040210221 is a deficient number, since it is larger than the sum of its proper divisors (1221791467).

101040210221 is a wasteful number, since it uses less digits than its factorization.

101040210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170623.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101040210221 its reverse (122012040101), we get a palindrome (223052250322).

The spelling of 101040210221 in words is "one hundred one billion, forty million, two hundred ten thousand, two hundred twenty-one".