21100222121100 has 144 divisors (see below), whose sum is σ = 61147525141248. Its totient is φ = 5617738748160.

The previous prime is 21100222121063. The next prime is 21100222121113. The reversal of 21100222121100 is 112122200112.

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 21100222121100.

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, 1401721174 + ... + 1401736226.

Almost surely, 2^{21100222121100} is an apocalyptic number.

21100222121100 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 21100222121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30573762570624).

21100222121100 is an abundant number, since it is smaller than the sum of its proper divisors (40047303020148).

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

21100222121100 is a wasteful number, since it uses less digits than its factorization.

21100222121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22224 (or 22217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21100222121100 its reverse (112122200112), we get a palindrome (21212344321212).

The spelling of 21100222121100 in words is "twenty-one trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred".