101222223121 has 2 divisors, whose sum is σ = 101222223122. Its totient is φ = 101222223120.

The previous prime is 101222223097. The next prime is 101222223149. The reversal of 101222223121 is 121322222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70066090000 + 31156133121 = 264700^2 + 176511^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222223121 - 2³¹ = 99074739473 is a prime.

It is not a weakly prime, because it can be changed into another prime (101222223521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611111560 + 50611111561.

It is an arithmetic number, because the mean of its divisors is an integer number (50611111561).

Almost surely, 2^101222223121 is an apocalyptic number.

It is an amenable number.

101222223121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222223121 is an equidigital number, since it uses as much as digits as its factorization.

101222223121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101222223121 its reverse (121322222101), we get a palindrome (222544445222).

The spelling of 101222223121 in words is "one hundred one billion, two hundred twenty-two million, two hundred twenty-three thousand, one hundred twenty-one".