2162141100 has 504 divisors, whose sum is σ = 8500567040. Its totient is φ = 466093440.

The previous prime is 2162141089. The next prime is 2162141101. The reversal of 2162141100 is 11412612.

2162141100 is a `hidden beast` number, since 2 + 1 + 621 + 41 + 1 + 0 + 0 = 666.

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 (2162141101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9695589 + ... + 9695811.

Almost surely, 2^2162141100 is an apocalyptic number.

2162141100 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 2162141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250283520).

2162141100 is an abundant number, since it is smaller than the sum of its proper divisors (6338425940).

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

2162141100 is a wasteful number, since it uses less digits than its factorization.

2162141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2162141100 is about 46498.8290175140. The cubic root of 2162141100 is about 1293.0877896476.

Adding to 2162141100 its reverse (11412612), we get a palindrome (2173553712).

The spelling of 2162141100 in words is "two billion, one hundred sixty-two million, one hundred forty-one thousand, one hundred".