2163401100 has 216 divisors, whose sum is σ = 7960094688. Its totient is φ = 481075200.

The previous prime is 2163401099. The next prime is 2163401101. The reversal of 2163401100 is 11043612.

It is a happy number.

2163401100 is a `hidden beast` number, since 2 + 163 + 401 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (2163401099) and next prime (2163401101).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2163401101) 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 71 ways as a sum of consecutive naturals, for example, 228460 + ... + 237740.

Almost surely, 2^2163401100 is an apocalyptic number.

2163401100 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 2163401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980047344).

2163401100 is an abundant number, since it is smaller than the sum of its proper divisors (5796693588).

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

2163401100 is a wasteful number, since it uses less digits than its factorization.

2163401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345 (or 9335 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2163401100 is about 46512.3757724759. The cubic root of 2163401100 is about 1293.3389256203.

Adding to 2163401100 its reverse (11043612), we get a palindrome (2174444712).

The spelling of 2163401100 in words is "two billion, one hundred sixty-three million, four hundred one thousand, one hundred".