101001101101221 has 16 divisors (see below), whose sum is σ = 134776374462080. Its totient is φ = 67279959521280.

The previous prime is 101001101101183. The next prime is 101001101101231. The reversal of 101001101101221 is 122101101100101.

It is not a de Polignac number, because 101001101101221 - 2⁹ = 101001101100709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001101101197 and 101001101101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001101101231) 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, 32419701 + ... + 35398293.

It is an arithmetic number, because the mean of its divisors is an integer number (8423523403880).

Almost surely, 2^{101001101101221} is an apocalyptic number.

It is an amenable number.

101001101101221 is a deficient number, since it is larger than the sum of its proper divisors (33775273360859).

101001101101221 is a wasteful number, since it uses less digits than its factorization.

101001101101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987676.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101001101101221 its reverse (122101101100101), we get a palindrome (223102202201322).

The spelling of 101001101101221 in words is "one hundred one trillion, one billion, one hundred one million, one hundred one thousand, two hundred twenty-one".