10010101101 has 128 divisors (see below), whose sum is σ = 19209609216. Its totient is φ = 4466119680.

The previous prime is 10010101093. The next prime is 10010101103. The reversal of 10010101101 is 10110101001.

It is not a de Polignac number, because 10010101101 - 2³ = 10010101093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010101103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2553595 + ... + 2557511.

It is an arithmetic number, because the mean of its divisors is an integer number (150075072).

Almost surely, 2^10010101101 is an apocalyptic number.

10010101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010101101 is a deficient number, since it is larger than the sum of its proper divisors (9199508115).

10010101101 is a wasteful number, since it uses less digits than its factorization.

10010101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011.

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

Adding to 10010101101 its reverse (10110101001), we get a palindrome (20120202102).

It can be divided in two parts, 10010 and 101101, that added together give a palindrome (111111).

The spelling of 10010101101 in words is "ten billion, ten million, one hundred one thousand, one hundred one".