221002020101129 has 2 divisors, whose sum is σ = 221002020101130. Its totient is φ = 221002020101128.

The previous prime is 221002020101113. The next prime is 221002020101141. The reversal of 221002020101129 is 921101020200122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158629112988025 + 62372907113104 = 12594805^2 + 7897652^2 .

It is a cyclic number.

It is not a de Polignac number, because 221002020101129 - 2⁴ = 221002020101113 is a prime.

It is not a weakly prime, because it can be changed into another prime (221002020107129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110501010050564 + 110501010050565.

It is an arithmetic number, because the mean of its divisors is an integer number (110501010050565).

Almost surely, 2^{221002020101129} is an apocalyptic number.

It is an amenable number.

221002020101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221002020101129 is an equidigital number, since it uses as much as digits as its factorization.

221002020101129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 221002020101129 in words is "two hundred twenty-one trillion, two billion, twenty million, one hundred one thousand, one hundred twenty-nine".