101101222212101 has 16 divisors (see below), whose sum is σ = 103035824858880. Its totient is φ = 99167625036480.

The previous prime is 101101222212083. The next prime is 101101222212161. The reversal of 101101222212101 is 101212222101101.

It is a cyclic number.

It is not a de Polignac number, because 101101222212101 - 2¹⁴ = 101101222195717 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101101222212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101222212161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4446148190 + ... + 4446170928.

It is an arithmetic number, because the mean of its divisors is an integer number (6439739053680).

Almost surely, 2^{101101222212101} is an apocalyptic number.

It is an amenable number.

101101222212101 is a deficient number, since it is larger than the sum of its proper divisors (1934602646779).

101101222212101 is an equidigital number, since it uses as much as digits as its factorization.

101101222212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41116.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101101222212101 its reverse (101212222101101), we get a palindrome (202313444313202).

The spelling of 101101222212101 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred one".