21001122111200 has 216 divisors, whose sum is σ = 65061204894504. Its totient is φ = 6545804160000.

The previous prime is 21001122111139. The next prime is 21001122111209. The reversal of 21001122111200 is 211122110012.

It is a super-3 number, since 3×21001122111200³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001122111209) 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, 23920751 + ... + 24783150.

It is an arithmetic number, because the mean of its divisors is an integer number (301209281919).

Almost surely, 2^{21001122111200} is an apocalyptic number.

21001122111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001122111200 is an abundant number, since it is smaller than the sum of its proper divisors (44060082783304).

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

21001122111200 is a wasteful number, since it uses less digits than its factorization.

21001122111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48703946 (or 48703926 counting only the distinct ones).

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

Adding to 21001122111200 its reverse (211122110012), we get a palindrome (21212244221212).

The spelling of 21001122111200 in words is "twenty-one trillion, one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".