21100210001100 has 144 divisors (see below), whose sum is σ = 67876241059200. Its totient is φ = 5623158058560.

The previous prime is 21100210001069. The next prime is 21100210001111. The reversal of 21100210001100 is 110001200112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 1788667 + ... + 6737933.

Almost surely, 2^{21100210001100} is an apocalyptic number.

21100210001100 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 21100210001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33938120529600).

21100210001100 is an abundant number, since it is smaller than the sum of its proper divisors (46776031058100).

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

21100210001100 is a wasteful number, since it uses less digits than its factorization.

21100210001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950869 (or 4950856 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21100210001100 its reverse (110001200112), we get a palindrome (21210211201212).

The spelling of 21100210001100 in words is "twenty-one trillion, one hundred billion, two hundred ten million, one thousand, one hundred".