21100101201200 has 720 divisors, whose sum is σ = 65181386648064. Its totient is φ = 6415154380800.

The previous prime is 21100101201167. The next prime is 21100101201203. The reversal of 21100101201200 is 210210100112.

It is not an unprimeable number, because it can be changed into a prime (21100101201203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1246968740 + ... + 1246985660.

Almost surely, 2^{21100101201200} is an apocalyptic number.

21100101201200 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 21100101201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32590693324032).

21100101201200 is an abundant number, since it is smaller than the sum of its proper divisors (44081285446864).

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

21100101201200 is a wasteful number, since it uses less digits than its factorization.

21100101201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17070 (or 17042 counting only the distinct ones).

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

Adding to 21100101201200 its reverse (210210100112), we get a palindrome (21310311301312).

The spelling of 21100101201200 in words is "twenty-one trillion, one hundred billion, one hundred one million, two hundred one thousand, two hundred".