21201101021100 has 864 divisors, whose sum is σ = 85052407297536. Its totient is φ = 3956611276800.

The previous prime is 21201101021069. The next prime is 21201101021119. The reversal of 21201101021100 is 112010110212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 144370912 + ... + 144517688.

It is an arithmetic number, because the mean of its divisors is an integer number (98440286224).

Almost surely, 2^{21201101021100} is an apocalyptic number.

21201101021100 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 21201101021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42526203648768).

21201101021100 is an abundant number, since it is smaller than the sum of its proper divisors (63851306276436).

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

21201101021100 is a wasteful number, since it uses less digits than its factorization.

21201101021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146875 (or 146855 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21201101021100 its reverse (112010110212), we get a palindrome (21313111131312).

The spelling of 21201101021100 in words is "twenty-one trillion, two hundred one billion, one hundred one million, twenty-one thousand, one hundred".