21220201101312 has 288 divisors, whose sum is σ = 61522628207040. Its totient is φ = 7046358958080.

The previous prime is 21220201101269. The next prime is 21220201101371. The reversal of 21220201101312 is 21310110202212.

21220201101312 is a `hidden beast` number, since 2 + 1 + 220 + 20 + 110 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6228410713 + ... + 6228414119.

It is an arithmetic number, because the mean of its divisors is an integer number (213620236830).

Almost surely, 2^{21220201101312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220201101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30761314103520).

21220201101312 is an abundant number, since it is smaller than the sum of its proper divisors (40302427105728).

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

21220201101312 is a wasteful number, since it uses less digits than its factorization.

21220201101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4629 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21220201101312 its reverse (21310110202212), we get a palindrome (42530311303524).

The spelling of 21220201101312 in words is "twenty-one trillion, two hundred twenty billion, two hundred one million, one hundred one thousand, three hundred twelve".