2142103120 has 40 divisors (see below), whose sum is σ = 5074369416. Its totient is φ = 840672768.

The previous prime is 2142103081. The next prime is 2142103121. The reversal of 2142103120 is 213012412.

It can be written as a sum of positive squares in 4 ways, for example, as 692321344 + 1449781776 = 26312^2 + 38076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2142103094 and 2142103103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142103121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248367 + ... + 256846.

Almost surely, 2^2142103120 is an apocalyptic number.

2142103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142103120 is an abundant number, since it is smaller than the sum of its proper divisors (2932266296).

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

2142103120 is a wasteful number, since it uses less digits than its factorization.

2142103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505279 (or 505273 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2142103120 is about 46282.8598943497. The cubic root of 2142103120 is about 1289.0807544777.

Adding to 2142103120 its reverse (213012412), we get a palindrome (2355115532).

The spelling of 2142103120 in words is "two billion, one hundred forty-two million, one hundred three thousand, one hundred twenty".