101051106113 has 2 divisors, whose sum is σ = 101051106114. Its totient is φ = 101051106112.

The previous prime is 101051106067. The next prime is 101051106133. The reversal of 101051106113 is 311601150101.

It is an a-pointer prime, because the next prime (101051106133) can be obtained adding 101051106113 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100909781569 + 141324544 = 317663^2 + 11888^2 .

It is a cyclic number.

It is not a de Polignac number, because 101051106113 - 2¹⁴ = 101051089729 is a prime.

It is a super-2 number, since 2×101051106113² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101051106133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50525553056 + 50525553057.

It is an arithmetic number, because the mean of its divisors is an integer number (50525553057).

Almost surely, 2^101051106113 is an apocalyptic number.

It is an amenable number.

101051106113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101051106113 is an equidigital number, since it uses as much as digits as its factorization.

101051106113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 20.

Adding to 101051106113 its reverse (311601150101), we get a palindrome (412652256214).

The spelling of 101051106113 in words is "one hundred one billion, fifty-one million, one hundred six thousand, one hundred thirteen".