5100100055101 has 2 divisors, whose sum is σ = 5100100055102. Its totient is φ = 5100100055100.

The previous prime is 5100100055087. The next prime is 5100100055227. The reversal of 5100100055101 is 1015500010015.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3449006122500 + 1651093932601 = 1857150^2 + 1284949^2 .

It is a cyclic number.

It is not a de Polignac number, because 5100100055101 - 2⁵ = 5100100055069 is a prime.

It is a super-2 number, since 2×5100100055101² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5100100052101) 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, 2550050027550 + 2550050027551.

It is an arithmetic number, because the mean of its divisors is an integer number (2550050027551).

Almost surely, 2^{5100100055101} is an apocalyptic number.

It is an amenable number.

5100100055101 is a deficient number, since it is larger than the sum of its proper divisors (1).

5100100055101 is an equidigital number, since it uses as much as digits as its factorization.

5100100055101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125, while the sum is 19.

Adding to 5100100055101 its reverse (1015500010015), we get a palindrome (6115600065116).

The spelling of 5100100055101 in words is "five trillion, one hundred billion, one hundred million, fifty-five thousand, one hundred one".