101011122221 has 32 divisors (see below), whose sum is σ = 105401088000. Its totient is φ = 96754996800.

The previous prime is 101011122203. The next prime is 101011122227. The reversal of 101011122221 is 122221110101.

It is not a de Polignac number, because 101011122221 - 2¹⁸ = 101010860077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011122196 and 101011122205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011122227) 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 31 ways as a sum of consecutive naturals, for example, 122141210 + ... + 122142036.

It is an arithmetic number, because the mean of its divisors is an integer number (3293784000).

Almost surely, 2^101011122221 is an apocalyptic number.

It is an amenable number.

101011122221 is a deficient number, since it is larger than the sum of its proper divisors (4389965779).

101011122221 is a wasteful number, since it uses less digits than its factorization.

101011122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011122221 its reverse (122221110101), we get a palindrome (223232232322).

The spelling of 101011122221 in words is "one hundred one billion, eleven million, one hundred twenty-two thousand, two hundred twenty-one".