2142141100 has 72 divisors (see below), whose sum is σ = 5369375088. Its totient is φ = 733132800.

The previous prime is 2142141097. The next prime is 2142141101. The reversal of 2142141100 is 11412412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2142141101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38577 + ... + 75976.

It is an arithmetic number, because the mean of its divisors is an integer number (74574654).

Almost surely, 2^2142141100 is an apocalyptic number.

2142141100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142141100 is an abundant number, since it is smaller than the sum of its proper divisors (3227233988).

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

2142141100 is a wasteful number, since it uses less digits than its factorization.

2142141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114595 (or 114588 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2142141100 is about 46283.2701956117. The cubic root of 2142141100 is about 1289.0883730026.

Adding to 2142141100 its reverse (11412412), we get a palindrome (2153553512).

The spelling of 2142141100 in words is "two billion, one hundred forty-two million, one hundred forty-one thousand, one hundred".