51061050101 has 2 divisors, whose sum is σ = 51061050102. Its totient is φ = 51061050100.

The previous prime is 51061050071. The next prime is 51061050121. The reversal of 51061050101 is 10105016015.

It is an a-pointer prime, because the next prime (51061050121) can be obtained adding 51061050101 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., 43586583076 + 7474467025 = 208774^2 + 86455^2 .

It is a cyclic number.

It is not a de Polignac number, because 51061050101 - 2¹⁰ = 51061049077 is a prime.

It is a super-2 number, since 2×51061050101² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51061050121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25530525050 + 25530525051.

It is an arithmetic number, because the mean of its divisors is an integer number (25530525051).

Almost surely, 2^51061050101 is an apocalyptic number.

It is an amenable number.

51061050101 is a deficient number, since it is larger than the sum of its proper divisors (1).

51061050101 is an equidigital number, since it uses as much as digits as its factorization.

51061050101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 51061050101 its reverse (10105016015), we get a palindrome (61166066116).

The spelling of 51061050101 in words is "fifty-one billion, sixty-one million, fifty thousand, one hundred one".