101021002221289 has 2 divisors, whose sum is σ = 101021002221290. Its totient is φ = 101021002221288.

The previous prime is 101021002221221. The next prime is 101021002221311. The reversal of 101021002221289 is 982122200120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61684059366400 + 39336942854889 = 7853920^2 + 6271917^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021002221289 - 2³¹ = 101018854737641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101021002221289.

It is not a weakly prime, because it can be changed into another prime (101021002221589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510501110644 + 50510501110645.

It is an arithmetic number, because the mean of its divisors is an integer number (50510501110645).

Almost surely, 2^{101021002221289} is an apocalyptic number.

It is an amenable number.

101021002221289 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021002221289 is an equidigital number, since it uses as much as digits as its factorization.

101021002221289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 101021002221289 in words is "one hundred one trillion, twenty-one billion, two million, two hundred twenty-one thousand, two hundred eighty-nine".