21113012202100 has 144 divisors (see below), whose sum is σ = 56393919197056. Its totient is φ = 6681216960000.

The previous prime is 21113012202077. The next prime is 21113012202143. The reversal of 21113012202100 is 120221031112.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 89981935 + ... + 90216265.

Almost surely, 2^{21113012202100} is an apocalyptic number.

21113012202100 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 21113012202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28196959598528).

21113012202100 is an abundant number, since it is smaller than the sum of its proper divisors (35280906994956).

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

21113012202100 is a wasteful number, since it uses less digits than its factorization.

21113012202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244266 (or 244259 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21113012202100 its reverse (120221031112), we get a palindrome (21233233233212).

The spelling of 21113012202100 in words is "twenty-one trillion, one hundred thirteen billion, twelve million, two hundred two thousand, one hundred".