1061100100561 has 2 divisors, whose sum is σ = 1061100100562. Its totient is φ = 1061100100560.

The previous prime is 1061100100559. The next prime is 1061100100607. The reversal of 1061100100561 is 1650010011601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 635656992961 + 425443107600 = 797281^2 + 652260^2 .

It is a cyclic number.

It is not a de Polignac number, because 1061100100561 - 2¹ = 1061100100559 is a prime.

It is a super-2 number, since 2×1061100100561² (a number of 25 digits) contains 22 as substring.

Together with 1061100100559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1061100100061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 530550050280 + 530550050281.

It is an arithmetic number, because the mean of its divisors is an integer number (530550050281).

Almost surely, 2^{1061100100561} is an apocalyptic number.

It is an amenable number.

1061100100561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1061100100561 is an equidigital number, since it uses as much as digits as its factorization.

1061100100561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 1061100100561 in words is "one trillion, sixty-one billion, one hundred million, one hundred thousand, five hundred sixty-one".