101100101221 has 16 divisors (see below), whose sum is σ = 121728232960. Its totient is φ = 82026088560.

The previous prime is 101100101171. The next prime is 101100101251. The reversal of 101100101221 is 122101001101.

It is a cyclic number.

It is not a de Polignac number, because 101100101221 - 2¹⁹ = 101099576933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100101198 and 101100101207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100101251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168831 + ... + 480316.

It is an arithmetic number, because the mean of its divisors is an integer number (7608014560).

Almost surely, 2^101100101221 is an apocalyptic number.

It is an amenable number.

101100101221 is a deficient number, since it is larger than the sum of its proper divisors (20628131739).

101100101221 is a wasteful number, since it uses less digits than its factorization.

101100101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650344.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101100101221 its reverse (122101001101), we get a palindrome (223201102322).

The spelling of 101100101221 in words is "one hundred one billion, one hundred million, one hundred one thousand, two hundred twenty-one".