21001112011100 has 144 divisors (see below), whose sum is σ = 49720177288320. Its totient is φ = 7652873779200.

The previous prime is 21001112011051. The next prime is 21001112011129. The reversal of 21001112011100 is 111021110012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250648814 + ... + 250732586.

Almost surely, 2^{21001112011100} is an apocalyptic number.

21001112011100 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 21001112011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24860088644160).

21001112011100 is an abundant number, since it is smaller than the sum of its proper divisors (28719065277220).

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

21001112011100 is a wasteful number, since it uses less digits than its factorization.

21001112011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86320 (or 86313 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21001112011100 its reverse (111021110012), we get a palindrome (21112133121112).

The spelling of 21001112011100 in words is "twenty-one trillion, one billion, one hundred twelve million, eleven thousand, one hundred".