2116401100 has 72 divisors (see below), whose sum is σ = 5092392816. Its totient is φ = 756960000.

The previous prime is 2116401061. The next prime is 2116401113. The reversal of 2116401100 is 11046112.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51330 + ... + 82870.

It is an arithmetic number, because the mean of its divisors is an integer number (70727678).

Almost surely, 2^2116401100 is an apocalyptic number.

2116401100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546196408).

2116401100 is an abundant number, since it is smaller than the sum of its proper divisors (2975991716).

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

2116401100 is a wasteful number, since it uses less digits than its factorization.

2116401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31627 (or 31620 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 2116401100 is about 46004.3595760228. The cubic root of 2116401100 is about 1283.9043181710.

Adding to 2116401100 its reverse (11046112), we get a palindrome (2127447212).

The spelling of 2116401100 in words is "two billion, one hundred sixteen million, four hundred one thousand, one hundred".