21113112220100 has 18 divisors (see below), whose sum is σ = 45815453517834. Its totient is φ = 8445244888000.

The previous prime is 21113112220073. The next prime is 21113112220129. The reversal of 21113112220100 is 102221131112.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5734291151044 + 15378821069056 = 2394638^2 + 3921584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105565561001 + ... + 105565561200.

It is an arithmetic number, because the mean of its divisors is an integer number (2545302973213).

Almost surely, 2^{21113112220100} is an apocalyptic number.

21113112220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21113112220100 is an abundant number, since it is smaller than the sum of its proper divisors (24702341297734).

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

21113112220100 is a wasteful number, since it uses less digits than its factorization.

21113112220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211131122215 (or 211131122208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 21113112220100 its reverse (102221131112), we get a palindrome (21215333351212).

The spelling of 21113112220100 in words is "twenty-one trillion, one hundred thirteen billion, one hundred twelve million, two hundred twenty thousand, one hundred".