101020022212221 has 24 divisors (see below), whose sum is σ = 166800711893504. Its totient is φ = 57712745993760.

The previous prime is 101020022212201. The next prime is 101020022212223. The reversal of 101020022212221 is 122212220020101.

It is a happy number.

101020022212221 is a `hidden beast` number, since 1 + 0 + 10 + 200 + 22 + 212 + 221 = 666.

It is not a de Polignac number, because 101020022212221 - 2³⁰ = 101018948470397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101020022212194 and 101020022212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020022212223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180009070 + ... + 180569391.

Almost surely, 2^{101020022212221} is an apocalyptic number.

It is an amenable number.

101020022212221 is a deficient number, since it is larger than the sum of its proper divisors (65780689681283).

101020022212221 is a wasteful number, since it uses less digits than its factorization.

101020022212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360582921 (or 360582918 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101020022212221 its reverse (122212220020101), we get a palindrome (223232242232322).

The spelling of 101020022212221 in words is "one hundred one trillion, twenty billion, twenty-two million, two hundred twelve thousand, two hundred twenty-one".