2114401100 has 72 divisors (see below), whose sum is σ = 5261329920. Its totient is φ = 722502720.

The previous prime is 2114401067. The next prime is 2114401103. The reversal of 2114401100 is 11044112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2114401103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209981 + ... + 219819.

Almost surely, 2^2114401100 is an apocalyptic number.

2114401100 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 2114401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630664960).

2114401100 is an abundant number, since it is smaller than the sum of its proper divisors (3146928820).

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

2114401100 is a wasteful number, since it uses less digits than its factorization.

2114401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167 (or 10160 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2114401100 is about 45982.6173678707. The cubic root of 2114401100 is about 1283.4997606541.

Adding to 2114401100 its reverse (11044112), we get a palindrome (2125445212).

The spelling of 2114401100 in words is "two billion, one hundred fourteen million, four hundred one thousand, one hundred".