221240410010129 has 2 divisors, whose sum is σ = 221240410010130. Its totient is φ = 221240410010128.

The previous prime is 221240410010101. The next prime is 221240410010161. The reversal of 221240410010129 is 921010014042122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217249912360000 + 3990497650129 = 14739400^2 + 1997623^2 .

It is a cyclic number.

It is not a de Polignac number, because 221240410010129 - 2⁸ = 221240410009873 is a prime.

It is not a weakly prime, because it can be changed into another prime (221240410015129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110620205005064 + 110620205005065.

It is an arithmetic number, because the mean of its divisors is an integer number (110620205005065).

Almost surely, 2^{221240410010129} is an apocalyptic number.

It is an amenable number.

221240410010129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221240410010129 is an equidigital number, since it uses as much as digits as its factorization.

221240410010129 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 29.

The spelling of 221240410010129 in words is "two hundred twenty-one trillion, two hundred forty billion, four hundred ten million, ten thousand, one hundred twenty-nine".