10010410101 has 24 divisors (see below), whose sum is σ = 15317654040. Its totient is φ = 6277917696.

The previous prime is 10010410057. The next prime is 10010410279. The reversal of 10010410101 is 10101401001.

It can be written as a sum of positive squares in 4 ways, for example, as 1426572900 + 8583837201 = 37770^2 + 92649^2 .

It is not a de Polignac number, because 10010410101 - 2²² = 10006215797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010410001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314215 + ... + 344603.

It is an arithmetic number, because the mean of its divisors is an integer number (638235585).

Almost surely, 2^10010410101 is an apocalyptic number.

It is an amenable number.

10010410101 is a deficient number, since it is larger than the sum of its proper divisors (5307243939).

10010410101 is a wasteful number, since it uses less digits than its factorization.

10010410101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32565 (or 32562 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010410101 its reverse (10101401001), we get a palindrome (20111811102).

The spelling of 10010410101 in words is "ten billion, ten million, four hundred ten thousand, one hundred one".