21101122101200 has 120 divisors (see below), whose sum is σ = 51061725527160. Its totient is φ = 8379557222400.

The previous prime is 21101122101179. The next prime is 21101122101203. The reversal of 21101122101200 is 210122110112.

It can be written as a sum of positive squares in 12 ways, for example, as 3684956301376 + 17416165799824 = 1919624^2 + 4173268^2 .

It is a super-2 number, since 2×21101122101200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101122101203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74024546 + ... + 74309054.

It is an arithmetic number, because the mean of its divisors is an integer number (425514379393).

Almost surely, 2^{21101122101200} is an apocalyptic number.

21101122101200 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 21101122101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25530862763580).

21101122101200 is an abundant number, since it is smaller than the sum of its proper divisors (29960603425960).

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

21101122101200 is a wasteful number, since it uses less digits than its factorization.

21101122101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285865 (or 285854 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21101122101200 its reverse (210122110112), we get a palindrome (21311244211312).

The spelling of 21101122101200 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-two million, one hundred one thousand, two hundred".