10001010010101 has 64 divisors (see below), whose sum is σ = 14994339840000. Its totient is φ = 5877721586880.

The previous prime is 10001010010067. The next prime is 10001010010111. The reversal of 10001010010101 is 10101001010001.

It is not a de Polignac number, because 10001010010101 - 2¹⁴ = 10001009993717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001010010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001010010111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172703050 + ... + 172760948.

It is an arithmetic number, because the mean of its divisors is an integer number (234286560000).

Almost surely, 2^{10001010010101} is an apocalyptic number.

10001010010101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001010010101 is a deficient number, since it is larger than the sum of its proper divisors (4993329829899).

10001010010101 is a wasteful number, since it uses less digits than its factorization.

10001010010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59174.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001010010101 its reverse (10101001010001), we get a palindrome (20102011020102).

The spelling of 10001010010101 in words is "ten trillion, one billion, ten million, ten thousand, one hundred one".