21142140100 has 36 divisors (see below), whose sum is σ = 48577179924. Its totient is φ = 7959393280.

The previous prime is 21142140013. The next prime is 21142140113. The reversal of 21142140100 is 104124112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 538982656 + 20603157444 = 23216^2 + 143538^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6216577 + ... + 6219976.

It is an arithmetic number, because the mean of its divisors is an integer number (1349366109).

Almost surely, 2^21142140100 is an apocalyptic number.

21142140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142140100 is an abundant number, since it is smaller than the sum of its proper divisors (27435039824).

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

21142140100 is a wasteful number, since it uses less digits than its factorization.

21142140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12436584 (or 12436577 counting only the distinct ones).

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

Adding to 21142140100 its reverse (104124112), we get a palindrome (21246264212).

The spelling of 21142140100 in words is "twenty-one billion, one hundred forty-two million, one hundred forty thousand, one hundred".