21211022101200 has 240 divisors, whose sum is σ = 70226848467840. Its totient is φ = 5468345026560.

The previous prime is 21211022101193. The next prime is 21211022101223. The reversal of 21211022101200 is 210122011212.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21211022101200.

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, 5449381 + ... + 8492219.

It is an arithmetic number, because the mean of its divisors is an integer number (292611868616).

Almost surely, 2^{21211022101200} is an apocalyptic number.

21211022101200 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 21211022101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35113424233920).

21211022101200 is an abundant number, since it is smaller than the sum of its proper divisors (49015826366640).

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

21211022101200 is a wasteful number, since it uses less digits than its factorization.

21211022101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043054 (or 3043043 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21211022101200 its reverse (210122011212), we get a palindrome (21421144112412).

The spelling of 21211022101200 in words is "twenty-one trillion, two hundred eleven billion, twenty-two million, one hundred one thousand, two hundred".