21001102201200 has 240 divisors, whose sum is σ = 73446835280256. Its totient is φ = 5087185382400.

The previous prime is 21001102201147. The next prime is 21001102201213. The reversal of 21001102201200 is 210220110012.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 16233459 + ... + 17479341.

Almost surely, 2^{21001102201200} is an apocalyptic number.

21001102201200 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 21001102201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36723417640128).

21001102201200 is an abundant number, since it is smaller than the sum of its proper divisors (52445733079056).

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

21001102201200 is a wasteful number, since it uses less digits than its factorization.

21001102201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247192 (or 1247181 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21001102201200 its reverse (210220110012), we get a palindrome (21211322311212).

It can be divided in two parts, 21001 and 102201200, that added together give a palindrome (102222201).

The spelling of 21001102201200 in words is "twenty-one trillion, one billion, one hundred two million, two hundred one thousand, two hundred".