101022220221 has 32 divisors (see below), whose sum is σ = 152867245440. Its totient is φ = 58828011264.

The previous prime is 101022220181. The next prime is 101022220223. The reversal of 101022220221 is 122022220101.

It is not a de Polignac number, because 101022220221 - 2⁷ = 101022220093 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101022220221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022220223) 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 31 ways as a sum of consecutive naturals, for example, 572131 + ... + 727583.

It is an arithmetic number, because the mean of its divisors is an integer number (4777101420).

Almost surely, 2^101022220221 is an apocalyptic number.

It is an amenable number.

101022220221 is a deficient number, since it is larger than the sum of its proper divisors (51845025219).

101022220221 is a wasteful number, since it uses less digits than its factorization.

101022220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156365.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101022220221 its reverse (122022220101), we get a palindrome (223044440322).

The spelling of 101022220221 in words is "one hundred one billion, twenty-two million, two hundred twenty thousand, two hundred twenty-one".