20101101 has 16 divisors (see below), whose sum is σ = 28118784. Its totient is φ = 12757824.

The previous prime is 20101099. The next prime is 20101129. The reversal of 20101101 is 10110102.

It is not a de Polignac number, because 20101101 - 2¹ = 20101099 is a prime.

It is a super-2 number, since 2×20101101² = 808108522824402, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3291 + ... + 7143.

It is an arithmetic number, because the mean of its divisors is an integer number (1757424).

Almost surely, 2^20101101 is an apocalyptic number.

It is an amenable number.

20101101 is a deficient number, since it is larger than the sum of its proper divisors (8017683).

20101101 is a wasteful number, since it uses less digits than its factorization.

20101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 20101101 is about 4483.4251415631. The cubic root of 20101101 is about 271.8983770096.

Adding to 20101101 its reverse (10110102), we get a palindrome (30211203).

Subtracting from 20101101 its reverse (10110102), we obtain a palindrome (9990999).

Multiplying 20101101 by its reverse (10110102), we get a palindrome (203224181422302).

It can be divided in two parts, 20101 and 101, that added together give a palindrome (20202).

The spelling of 20101101 in words is "twenty million, one hundred one thousand, one hundred one".