10100101101 has 8 divisors (see below), whose sum is σ = 13600136544. Its totient is φ = 6666733200.

The previous prime is 10100101069. The next prime is 10100101117. The reversal of 10100101101 is 10110100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10100101101 - 2⁵ = 10100101069 is a prime.

10100101101 is a modest number, since divided by 101101 gives 10100 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10100101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16666531 + ... + 16667136.

It is an arithmetic number, because the mean of its divisors is an integer number (1700017068).

Almost surely, 2^10100101101 is an apocalyptic number.

It is an amenable number.

10100101101 is a deficient number, since it is larger than the sum of its proper divisors (3500035443).

10100101101 is a wasteful number, since it uses less digits than its factorization.

10100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33333771.

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

Adding to 10100101101 its reverse (10110100101), we get a palindrome (20210201202).

It can be divided in two parts, 10100101 and 101, that multiplied together give a palindrome (1020110201).

The spelling of 10100101101 in words is "ten billion, one hundred million, one hundred one thousand, one hundred one".