21121101200 has 120 divisors (see below), whose sum is σ = 52387846368. Its totient is φ = 8178186240.

The previous prime is 21121101173. The next prime is 21121101247. The reversal of 21121101200 is 210112112.

It is a super-2 number, since 2×21121101200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1938167 + ... + 1949033.

Almost surely, 2^21121101200 is an apocalyptic number.

21121101200 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 21121101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26193923184).

21121101200 is an abundant number, since it is smaller than the sum of its proper divisors (31266745168).

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

21121101200 is a wasteful number, since it uses less digits than its factorization.

21121101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11041 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21121101200 its reverse (210112112), we get a palindrome (21331213312).

The spelling of 21121101200 in words is "twenty-one billion, one hundred twenty-one million, one hundred one thousand, two hundred".