101101221201221 has 4 divisors (see below), whose sum is σ = 101105950661772. Its totient is φ = 101096491740672.

The previous prime is 101101221201187. The next prime is 101101221201229. The reversal of 101101221201221 is 122102122101101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 34227016348996 + 66874204852225 = 5850386^2 + 8177665^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101221201221 - 2⁶ = 101101221201157 is a prime.

It is a super-3 number, since 3×101101221201221³ (a number of 43 digits) contains 333 as substring.

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 101101221201221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101221201229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2364698210 + ... + 2364740963.

It is an arithmetic number, because the mean of its divisors is an integer number (25276487665443).

Almost surely, 2^{101101221201221} is an apocalyptic number.

It is an amenable number.

101101221201221 is a deficient number, since it is larger than the sum of its proper divisors (4729460551).

101101221201221 is an equidigital number, since it uses as much as digits as its factorization.

101101221201221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729460550.

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

Adding to 101101221201221 its reverse (122102122101101), we get a palindrome (223203343302322).

The spelling of 101101221201221 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-one million, two hundred one thousand, two hundred twenty-one".