21112021102100 has 72 divisors (see below), whose sum is σ = 46152161489280. Its totient is φ = 8382330996480.

The previous prime is 21112021102061. The next prime is 21112021102127. The reversal of 21112021102100 is 120112021112.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 68554064 + ... + 68861336.

Almost surely, 2^{21112021102100} is an apocalyptic number.

21112021102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112021102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23076080744640).

21112021102100 is an abundant number, since it is smaller than the sum of its proper divisors (25040140387180).

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

21112021102100 is a wasteful number, since it uses less digits than its factorization.

21112021102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312369 (or 312362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21112021102100 its reverse (120112021112), we get a palindrome (21232133123212).

The spelling of 21112021102100 in words is "twenty-one trillion, one hundred twelve billion, twenty-one million, one hundred two thousand, one hundred".