101110996806661 has 2 divisors, whose sum is σ = 101110996806662. Its totient is φ = 101110996806660.

The previous prime is 101110996806647. The next prime is 101110996806679. The reversal of 101110996806661 is 166608699011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87044701550625 + 14066295256036 = 9329775^2 + 3750506^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110996806661 - 2³³ = 101102406872069 is a prime.

It is a super-2 number, since 2×101110996806661² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110996846661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555498403330 + 50555498403331.

It is an arithmetic number, because the mean of its divisors is an integer number (50555498403331).

Almost surely, 2^{101110996806661} is an apocalyptic number.

It is an amenable number.

101110996806661 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110996806661 is an equidigital number, since it uses as much as digits as its factorization.

101110996806661 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 839808, while the sum is 55.

The spelling of 101110996806661 in words is "one hundred one trillion, one hundred ten billion, nine hundred ninety-six million, eight hundred six thousand, six hundred sixty-one".