1000221110261 has 2 divisors, whose sum is σ = 1000221110262. Its totient is φ = 1000221110260.

The previous prime is 1000221110221. The next prime is 1000221110263. The reversal of 1000221110261 is 1620111220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 592736771236 + 407484339025 = 769894^2 + 638345^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000221110261 is a prime.

It is a Sophie Germain prime.

Together with 1000221110263, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000221110263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500110555130 + 500110555131.

It is an arithmetic number, because the mean of its divisors is an integer number (500110555131).

Almost surely, 2^{1000221110261} is an apocalyptic number.

It is an amenable number.

1000221110261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000221110261 is an equidigital number, since it uses as much as digits as its factorization.

1000221110261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1000221110261 its reverse (1620111220001), we get a palindrome (2620332330262).

The spelling of 1000221110261 in words is "one trillion, two hundred twenty-one million, one hundred ten thousand, two hundred sixty-one".