101105561093 has 2 divisors, whose sum is σ = 101105561094. Its totient is φ = 101105561092.

The previous prime is 101105561069. The next prime is 101105561107. The reversal of 101105561093 is 390165501101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100088078689 + 1017482404 = 316367^2 + 31898^2 .

It is a cyclic number.

It is not a de Polignac number, because 101105561093 - 2¹² = 101105556997 is a prime.

It is a Sophie Germain 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 (101105561693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50552780546 + 50552780547.

It is an arithmetic number, because the mean of its divisors is an integer number (50552780547).

Almost surely, 2^101105561093 is an apocalyptic number.

It is an amenable number.

101105561093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101105561093 is an equidigital number, since it uses as much as digits as its factorization.

101105561093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4050, while the sum is 32.

The spelling of 101105561093 in words is "one hundred one billion, one hundred five million, five hundred sixty-one thousand, ninety-three".