101222022212101 has 12 divisors (see below), whose sum is σ = 121546391387520. Its totient is φ = 83962967732280.

The previous prime is 101222022212099. The next prime is 101222022212137. The reversal of 101222022212101 is 101212220222101.

It is not a de Polignac number, because 101222022212101 - 2¹ = 101222022212099 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 (101222022212141) 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 11 ways as a sum of consecutive naturals, for example, 33318636471 + ... + 33318639508.

It is an arithmetic number, because the mean of its divisors is an integer number (10128865948960).

Almost surely, 2^{101222022212101} is an apocalyptic number.

It is an amenable number.

101222022212101 is a deficient number, since it is larger than the sum of its proper divisors (20324369175419).

101222022212101 is an equidigital number, since it uses as much as digits as its factorization.

101222022212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66637276024 (or 66637276017 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101222022212101 its reverse (101212220222101), we get a palindrome (202434242434202).

The spelling of 101222022212101 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-two million, two hundred twelve thousand, one hundred one".