5101100101 has 2 divisors, whose sum is σ = 5101100102. Its totient is φ = 5101100100.

The previous prime is 5101100089. The next prime is 5101100111. The reversal of 5101100101 is 1010011015.

It is an a-pointer prime, because the next prime (5101100111) can be obtained adding 5101100101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2795659876 + 2305440225 = 52874^2 + 48015^2 .

It is a cyclic number.

It is not a de Polignac number, because 5101100101 - 2⁷ = 5101099973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5101100111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2550550050 + 2550550051.

It is an arithmetic number, because the mean of its divisors is an integer number (2550550051).

Almost surely, 2^5101100101 is an apocalyptic number.

It is an amenable number.

5101100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

5101100101 is an equidigital number, since it uses as much as digits as its factorization.

5101100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5, while the sum is 10.

The square root of 5101100101 is about 71421.9861177215. The cubic root of 5101100101 is about 1721.4243768307.

Adding to 5101100101 its reverse (1010011015), we get a palindrome (6111111116).

The spelling of 5101100101 in words is "five billion, one hundred one million, one hundred thousand, one hundred one".