101001102011221 has 8 divisors (see below), whose sum is σ = 101100447466200. Its totient is φ = 100901802228480.

The previous prime is 101001102011189. The next prime is 101001102011237. The reversal of 101001102011221 is 122110201100101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 72944068932900 + 28057033078321 = 8540730^2 + 5296889^2 .

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 101001102011221 - 2⁵ = 101001102011189 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 (101001102011261) 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, 6992176 + ... + 15839593.

It is an arithmetic number, because the mean of its divisors is an integer number (12637555933275).

Almost surely, 2^{101001102011221} is an apocalyptic number.

It is an amenable number.

101001102011221 is a deficient number, since it is larger than the sum of its proper divisors (99345454979).

101001102011221 is a wasteful number, since it uses less digits than its factorization.

101001102011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22836119.

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

Adding to 101001102011221 its reverse (122110201100101), we get a palindrome (223111303111322).

The spelling of 101001102011221 in words is "one hundred one trillion, one billion, one hundred two million, eleven thousand, two hundred twenty-one".