10101000010101 has 288 divisors, whose sum is σ = 20007893030400. Its totient is φ = 4464604085760.

The previous prime is 10101000010099. The next prime is 10101000010147.

10101000010101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10101000010101 - 2¹ = 10101000010099 is a prime.

10101000010101 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 10101000010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101000010001) 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 in 287 ways as a sum of consecutive naturals, for example, 192084630 + ... + 192137208.

It is an arithmetic number, because the mean of its divisors is an integer number (69471850800).

Almost surely, 2^{10101000010101} is an apocalyptic number.

10101000010101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101000010101 is a deficient number, since it is larger than the sum of its proper divisors (9906893020299).

10101000010101 is a wasteful number, since it uses less digits than its factorization.

10101000010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52689 (or 52669 counting only the distinct ones).

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

It can be divided in two parts, 101010000 and 10101, that multiplied together give a square (1020302010000 = 1010100²).

The spelling of 10101000010101 in words is "ten trillion, one hundred one billion, ten thousand, one hundred one".