21113222131100 has 108 divisors (see below), whose sum is σ = 50362399745952. Its totient is φ = 7677077548800.

The previous prime is 21113222131091. The next prime is 21113222131103. The reversal of 21113222131100 is 113122231112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113222131103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 254264189 + ... + 254347211.

Almost surely, 2^{21113222131100} is an apocalyptic number.

21113222131100 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 21113222131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25181199872976).

21113222131100 is an abundant number, since it is smaller than the sum of its proper divisors (29249177614852).

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

21113222131100 is a wasteful number, since it uses less digits than its factorization.

21113222131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104076 (or 104058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 21113222131100 its reverse (113122231112), we get a palindrome (21226344362212).

The spelling of 21113222131100 in words is "twenty-one trillion, one hundred thirteen billion, two hundred twenty-two million, one hundred thirty-one thousand, one hundred".