101221010212221 has 24 divisors (see below), whose sum is σ = 146534773089536. Its totient is φ = 67329934832160.

The previous prime is 101221010212171. The next prime is 101221010212291. The reversal of 101221010212221 is 122212010122101.

101221010212221 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 0 + 10 + 212 + 221 = 666.

It is not a de Polignac number, because 101221010212221 - 2³¹ = 101218862728573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101221010212194 and 101221010212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221010212291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55740051 + ... + 57527343.

Almost surely, 2^{101221010212221} is an apocalyptic number.

It is an amenable number.

101221010212221 is a deficient number, since it is larger than the sum of its proper divisors (45313762877315).

101221010212221 is a wasteful number, since it uses less digits than its factorization.

101221010212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801353 (or 1801350 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101221010212221 its reverse (122212010122101), we get a palindrome (223433020334322).

The spelling of 101221010212221 in words is "one hundred one trillion, two hundred twenty-one billion, ten million, two hundred twelve thousand, two hundred twenty-one".