101221000221 has 32 divisors (see below), whose sum is σ = 149823945216. Its totient is φ = 60274760000.

The previous prime is 101221000163. The next prime is 101221000259. The reversal of 101221000221 is 122000122101.

It is a cyclic number.

It is not a de Polignac number, because 101221000221 - 2¹⁵ = 101220967453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101221000197 and 101221000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221000421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320710 + ... + 552536.

It is an arithmetic number, because the mean of its divisors is an integer number (4681998288).

Almost surely, 2^101221000221 is an apocalyptic number.

101221000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221000221 is a deficient number, since it is larger than the sum of its proper divisors (48602944995).

101221000221 is a wasteful number, since it uses less digits than its factorization.

101221000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232073.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101221000221 its reverse (122000122101), we get a palindrome (223221122322).

The spelling of 101221000221 in words is "one hundred one billion, two hundred twenty-one million, two hundred twenty-one", and thus it is an aban number.