101221122089 has 2 divisors, whose sum is σ = 101221122090. Its totient is φ = 101221122088.

The previous prime is 101221122017. The next prime is 101221122127. The reversal of 101221122089 is 980221122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101065496464 + 155625625 = 317908^2 + 12475^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221122089 - 2¹⁶ = 101221056553 is a prime.

It is not a weakly prime, because it can be changed into another prime (101221172089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610561044 + 50610561045.

It is an arithmetic number, because the mean of its divisors is an integer number (50610561045).

Almost surely, 2^101221122089 is an apocalyptic number.

It is an amenable number.

101221122089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221122089 is an equidigital number, since it uses as much as digits as its factorization.

101221122089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 101221122089 in words is "one hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, eighty-nine".