101221022221 has 16 divisors (see below), whose sum is σ = 112439900160. Its totient is φ = 90353249280.

The previous prime is 101221022191. The next prime is 101221022263. The reversal of 101221022221 is 122220122101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101221022221 - 2⁷ = 101221022093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101221022195 and 101221022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221020221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237976 + ... + 508993.

It is an arithmetic number, because the mean of its divisors is an integer number (7027493760).

Almost surely, 2^101221022221 is an apocalyptic number.

101221022221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221022221 is a deficient number, since it is larger than the sum of its proper divisors (11218877939).

101221022221 is a wasteful number, since it uses less digits than its factorization.

101221022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747204.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101221022221 its reverse (122220122101), we get a palindrome (223441144322).

The spelling of 101221022221 in words is "one hundred one billion, two hundred twenty-one million, twenty-two thousand, two hundred twenty-one".