21112120100 has 36 divisors (see below), whose sum is σ = 45976398468. Its totient is φ = 8414784000.

The previous prime is 21112120087. The next prime is 21112120121. The reversal of 21112120100 is 102121112.

It can be written as a sum of positive squares in 6 ways, for example, as 1050797056 + 20061323044 = 32416^2 + 141638^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347561 + ... + 403760.

Almost surely, 2^21112120100 is an apocalyptic number.

21112120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112120100 is an abundant number, since it is smaller than the sum of its proper divisors (24864278368).

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

21112120100 is a wasteful number, since it uses less digits than its factorization.

21112120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751616 (or 751609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21112120100 its reverse (102121112), we get a palindrome (21214241212).

The spelling of 21112120100 in words is "twenty-one billion, one hundred twelve million, one hundred twenty thousand, one hundred".