10201101101 has 4 divisors (see below), whose sum is σ = 10302102204. Its totient is φ = 10100100000.

The previous prime is 10201101091. The next prime is 10201101109. The reversal of 10201101101 is 10110110201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8765827876 + 1435273225 = 93626^2 + 37885^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201101101 - 2⁶ = 10201101037 is a prime.

It is a Duffinian number.

10201101101 is a modest number, since divided by 101101 gives 10201 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50500400 + ... + 50500601.

It is an arithmetic number, because the mean of its divisors is an integer number (2575525551).

Almost surely, 2^10201101101 is an apocalyptic number.

It is an amenable number.

10201101101 is a deficient number, since it is larger than the sum of its proper divisors (101001103).

10201101101 is a wasteful number, since it uses less digits than its factorization.

10201101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101001102.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10201101101 its reverse (10110110201), we get a palindrome (20311211302).

It can be divided in two parts, 10201 and 101101, that multiplied together give a palindrome (1031331301).

The spelling of 10201101101 in words is "ten billion, two hundred one million, one hundred one thousand, one hundred one".