101101211111221 has 4 divisors (see below), whose sum is σ = 101105427023244. Its totient is φ = 101096995199200.

The previous prime is 101101211111161. The next prime is 101101211111269. The reversal of 101101211111221 is 122111112101101.

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 33168833859121 + 67932377252100 = 5759239^2 + 8242110^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101211111221 - 2¹⁵ = 101101211078453 is a prime.

It is a super-2 number, since 2×101101211111221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101211111195 and 101101211111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101211111521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2107920040 + ... + 2107968001.

It is an arithmetic number, because the mean of its divisors is an integer number (25276356755811).

Almost surely, 2^{101101211111221} is an apocalyptic number.

It is an amenable number.

101101211111221 is a deficient number, since it is larger than the sum of its proper divisors (4215912023).

101101211111221 is an equidigital number, since it uses as much as digits as its factorization.

101101211111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215912022.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101101211111221 its reverse (122111112101101), we get a palindrome (223212323212322).

The spelling of 101101211111221 in words is "one hundred one trillion, one hundred one billion, two hundred eleven million, one hundred eleven thousand, two hundred twenty-one".