10105250101 has 2 divisors, whose sum is σ = 10105250102. Its totient is φ = 10105250100.

The previous prime is 10105250093. The next prime is 10105250119.

10105250101 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6714983025 + 3390267076 = 81945^2 + 58226^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10105250101 - 2³ = 10105250093 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10105250171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052625050 + 5052625051.

It is an arithmetic number, because the mean of its divisors is an integer number (5052625051).

Almost surely, 2^10105250101 is an apocalyptic number.

It is an amenable number.

10105250101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105250101 is an equidigital number, since it uses as much as digits as its factorization.

10105250101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50, while the sum is 16.

The spelling of 10105250101 in words is "ten billion, one hundred five million, two hundred fifty thousand, one hundred one".