101101101121221 has 16 divisors (see below), whose sum is σ = 139450100644800. Its totient is φ = 65076428039168.

The previous prime is 101101101121177. The next prime is 101101101121243. The reversal of 101101101121221 is 122121101101101.

It is a cyclic number.

It is not a de Polignac number, because 101101101121221 - 2¹⁴ = 101101101104837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101101121221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101101121121) 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, 50715685 + ... + 52671461.

It is an arithmetic number, because the mean of its divisors is an integer number (8715631290300).

Almost surely, 2^{101101101121221} is an apocalyptic number.

It is an amenable number.

101101101121221 is a deficient number, since it is larger than the sum of its proper divisors (38348999523579).

101101101121221 is a wasteful number, since it uses less digits than its factorization.

101101101121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549988.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101101101121221 its reverse (122121101101101), we get a palindrome (223222202222322).

The spelling of 101101101121221 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty-one".