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221001110129 is a prime number
BaseRepresentation
bin1100110111010010110…
…0010101001001110001
3210010102221120121200002
43031310230111021301
512110102241011004
6245305420435345
721652420304222
oct3156454251161
9703387517602
10221001110129
11857a9402068
12369b89a8b55
1317ac0232367
14a9a7323249
155b3704061e
hex3374b15271

221001110129 has 2 divisors, whose sum is σ = 221001110130. Its totient is φ = 221001110128.

The previous prime is 221001110119. The next prime is 221001110179. The reversal of 221001110129 is 921011100122.

221001110129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159099670129 + 61901440000 = 398873^2 + 248800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221001110129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221001110129.

It is not a weakly prime, because it can be changed into another prime (221001110119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500555064 + 110500555065.

It is an arithmetic number, because the mean of its divisors is an integer number (110500555065).

Almost surely, 2221001110129 is an apocalyptic number.

It is an amenable number.

221001110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001110129 is an equidigital number, since it uses as much as digits as its factorization.

221001110129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 221001110129 in words is "two hundred twenty-one billion, one million, one hundred ten thousand, one hundred twenty-nine".