20101116 has 48 divisors (see below), whose sum is σ = 54177536. Its totient is φ = 5681664.

The previous prime is 20101099. The next prime is 20101129. The reversal of 20101116 is 61110102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6915 + ... + 9381.

Almost surely, 2^20101116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27088768).

20101116 is an abundant number, since it is smaller than the sum of its proper divisors (34076420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20101116 is a wasteful number, since it uses less digits than its factorization.

20101116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 20101116 is about 4483.4268143910. The cubic root of 20101116 is about 271.8984446423.

Adding to 20101116 its reverse (61110102), we get a palindrome (81211218).

The spelling of 20101116 in words is "twenty million, one hundred one thousand, one hundred sixteen".