2100142144 has 56 divisors (see below), whose sum is σ = 4358761920. Its totient is φ = 1002084864.

The previous prime is 2100142133. The next prime is 2100142153. The reversal of 2100142144 is 4412410012.

It is a super-3 number, since 3×2100142144³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 747847 + ... + 750649.

Almost surely, 2^2100142144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179380960).

2100142144 is an abundant number, since it is smaller than the sum of its proper divisors (2258619776).

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

2100142144 is a wasteful number, since it uses less digits than its factorization.

2100142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2100142144 is about 45827.3078415043. The cubic root of 2100142144 is about 1280.6080574538.

Adding to 2100142144 its reverse (4412410012), we get a palindrome (6512552156).

The spelling of 2100142144 in words is "two billion, one hundred million, one hundred forty-two thousand, one hundred forty-four".