101000210101221 has 16 divisors (see below), whose sum is σ = 134718834212864. Its totient is φ = 67307533743024.

The previous prime is 101000210101201. The next prime is 101000210101253. The reversal of 101000210101221 is 122101012000101.

It is not a de Polignac number, because 101000210101221 - 2³⁰ = 100999136359397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000210101197 and 101000210101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000210101201) 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, 100601100 + ... + 101600106.

It is an arithmetic number, because the mean of its divisors is an integer number (8419927138304).

Almost surely, 2^{101000210101221} is an apocalyptic number.

It is an amenable number.

101000210101221 is a deficient number, since it is larger than the sum of its proper divisors (33718624111643).

101000210101221 is an equidigital number, since it uses as much as digits as its factorization.

101000210101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011960.

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

Adding to 101000210101221 its reverse (122101012000101), we get a palindrome (223101222101322).

The spelling of 101000210101221 in words is "one hundred one trillion, two hundred ten million, one hundred one thousand, two hundred twenty-one".