2142107100 has 576 divisors, whose sum is σ = 8549452800. Its totient is φ = 449003520.

The previous prime is 2142107087. The next prime is 2142107111. The reversal of 2142107100 is 17012412.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18956644 + ... + 18956756.

It is an arithmetic number, because the mean of its divisors is an integer number (14842800).

Almost surely, 2^2142107100 is an apocalyptic number.

2142107100 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 2142107100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274726400).

2142107100 is an abundant number, since it is smaller than the sum of its proper divisors (6407345700).

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

2142107100 is a wasteful number, since it uses less digits than its factorization.

2142107100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2142107100 is about 46282.9028908084. The cubic root of 2142107100 is about 1289.0815528424.

Adding to 2142107100 its reverse (17012412), we get a palindrome (2159119512).

It can be divided in two parts, 21 and 42107100, that added together give a square (42107121 = 6489²).

The spelling of 2142107100 in words is "two billion, one hundred forty-two million, one hundred seven thousand, one hundred".