101000101101 has 16 divisors (see below), whose sum is σ = 136053328320. Its totient is φ = 66640659200.

The previous prime is 101000101099. The next prime is 101000101109. The reversal of 101000101101 is 101101000101.

It is a cyclic number.

It is not a de Polignac number, because 101000101101 - 2¹ = 101000101099 is a prime.

101000101101 is a modest number, since divided by 101101 gives 101000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 101000101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726646 + ... + 854408.

It is an arithmetic number, because the mean of its divisors is an integer number (8503333020).

Almost surely, 2^101000101101 is an apocalyptic number.

It is an amenable number.

101000101101 is a deficient number, since it is larger than the sum of its proper divisors (35053227219).

101000101101 is a wasteful number, since it uses less digits than its factorization.

101000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130476.

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

Adding to 101000101101 its reverse (101101000101), we get a palindrome (202101101202).

It can be divided in two parts, 101000101 and 101, that multiplied together give a palindrome (10201010201).

The spelling of 101000101101 in words is "one hundred one billion, one hundred one thousand, one hundred one".