21112101200100 has 72 divisors (see below), whose sum is σ = 61094759199040. Its totient is φ = 5628933924480.

The previous prime is 21112101200041. The next prime is 21112101200101. The reversal of 21112101200100 is 100210121112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21112101200101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4234672 + ... + 7756071.

Almost surely, 2^{21112101200100} is an apocalyptic number.

21112101200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112101200100 is an abundant number, since it is smaller than the sum of its proper divisors (39982657998940).

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

21112101200100 is a wasteful number, since it uses less digits than its factorization.

21112101200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11996629 (or 11996622 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21112101200100 its reverse (100210121112), we get a palindrome (21212311321212).

The spelling of 21112101200100 in words is "twenty-one trillion, one hundred twelve billion, one hundred one million, two hundred thousand, one hundred".