100000110061 has 2 divisors, whose sum is σ = 100000110062. Its totient is φ = 100000110060.

The previous prime is 100000110059. The next prime is 100000110073. The reversal of 100000110061 is 160011000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99986234436 + 13875625 = 316206^2 + 3725^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000110061 - 2¹ = 100000110059 is a prime.

It is a super-2 number, since 2×100000110061² (a number of 23 digits) contains 22 as substring.

Together with 100000110059, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000110011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000055030 + 50000055031.

It is an arithmetic number, because the mean of its divisors is an integer number (50000055031).

Almost surely, 2^100000110061 is an apocalyptic number.

It is an amenable number.

100000110061 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000110061 is an equidigital number, since it uses as much as digits as its factorization.

100000110061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100000110061 its reverse (160011000001), we get a palindrome (260011110062).

The spelling of 100000110061 in words is "one hundred billion, one hundred ten thousand, sixty-one".