101100002101221 has 16 divisors (see below), whose sum is σ = 138886583359680. Its totient is φ = 65385288608640.

The previous prime is 101100002101199. The next prime is 101100002101223. The reversal of 101100002101221 is 122101200001101.

It is not a de Polignac number, because 101100002101221 - 2¹⁰ = 101100002100197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100002101197 and 101100002101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100002101223) 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 15 ways as a sum of consecutive naturals, for example, 3572171635 + ... + 3572199936.

It is an arithmetic number, because the mean of its divisors is an integer number (8680411459980).

Almost surely, 2^{101100002101221} is an apocalyptic number.

It is an amenable number.

101100002101221 is a deficient number, since it is larger than the sum of its proper divisors (37786581258459).

101100002101221 is an equidigital number, since it uses as much as digits as its factorization.

101100002101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7144371716.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101100002101221 its reverse (122101200001101), we get a palindrome (223201202102322).

It can be divided in two parts, 10110000 and 2101221, that added together give a palindrome (12211221).

The spelling of 101100002101221 in words is "one hundred one trillion, one hundred billion, two million, one hundred one thousand, two hundred twenty-one".