101001102101221 has 8 divisors (see below), whose sum is σ = 115429899394944. Its totient is φ = 86572321913040.

The previous prime is 101001102101189. The next prime is 101001102101227. The reversal of 101001102101221 is 122101201100101.

It is a happy number.

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 101001102101221 - 2⁵ = 101001102101189 is a prime.

It is a super-2 number, since 2×101001102101221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001102101227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13063776 + ... + 19304518.

It is an arithmetic number, because the mean of its divisors is an integer number (14428737424368).

Almost surely, 2^{101001102101221} is an apocalyptic number.

It is an amenable number.

101001102101221 is a deficient number, since it is larger than the sum of its proper divisors (14428797293723).

101001102101221 is an equidigital number, since it uses as much as digits as its factorization.

101001102101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552771.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101001102101221 its reverse (122101201100101), we get a palindrome (223102303201322).

The spelling of 101001102101221 in words is "one hundred one trillion, one billion, one hundred two million, one hundred one thousand, two hundred twenty-one".