101001002102221 has 8 divisors (see below), whose sum is σ = 108771849227160. Its totient is φ = 93230374873152.

The previous prime is 101001002102167. The next prime is 101001002102237. The reversal of 101001002102221 is 122201200100101.

It can be written as a sum of positive squares in 4 ways, for example, as 11194846056900 + 89806156045321 = 3345870^2 + 9476611^2 .

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 101001002102221 - 2³³ = 100992412167629 is a prime.

It is a super-2 number, since 2×101001002102221² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001002102251) 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, 54019390 + ... + 55857823.

It is an arithmetic number, because the mean of its divisors is an integer number (13596481153395).

Almost surely, 2^{101001002102221} is an apocalyptic number.

It is an amenable number.

101001002102221 is a deficient number, since it is larger than the sum of its proper divisors (7770847124939).

101001002102221 is a wasteful number, since it uses less digits than its factorization.

101001002102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109947935.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101001002102221 its reverse (122201200100101), we get a palindrome (223202202202322).

The spelling of 101001002102221 in words is "one hundred one trillion, one billion, two million, one hundred two thousand, two hundred twenty-one".