21113112002100 has 288 divisors, whose sum is σ = 66749301104640. Its totient is φ = 5138320320000.

The previous prime is 21113112002083. The next prime is 21113112002119. The reversal of 21113112002100 is 120021131112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21113112002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10686825 + ... + 12507375.

Almost surely, 2^{21113112002100} is an apocalyptic number.

21113112002100 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 21113112002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33374650552320).

21113112002100 is an abundant number, since it is smaller than the sum of its proper divisors (45636189102540).

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

21113112002100 is a wasteful number, since it uses less digits than its factorization.

21113112002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820671 (or 1820664 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21113112002100 its reverse (120021131112), we get a palindrome (21233133133212).

The spelling of 21113112002100 in words is "twenty-one trillion, one hundred thirteen billion, one hundred twelve million, two thousand, one hundred".