21212102112201 has 64 divisors (see below), whose sum is σ = 42193458800640. Its totient is φ = 10171637363520.

The previous prime is 21212102112181. The next prime is 21212102112209. The reversal of 21212102112201 is 10221120121212.

21212102112201 is a `hidden beast` number, since 2 + 1 + 21 + 210 + 211 + 220 + 1 = 666.

It is not a de Polignac number, because 21212102112201 - 2¹⁴ = 21212102095817 is a prime.

It is a super-3 number, since 3×21212102112201³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21212102112209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392397255 + ... + 392451308.

It is an arithmetic number, because the mean of its divisors is an integer number (659272793760).

Almost surely, 2^{21212102112201} is an apocalyptic number.

21212102112201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21212102112201 is a deficient number, since it is larger than the sum of its proper divisors (20981356688439).

21212102112201 is a wasteful number, since it uses less digits than its factorization.

21212102112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784848603 (or 784848597 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21212102112201 its reverse (10221120121212), we get a palindrome (31433222233413).

The spelling of 21212102112201 in words is "twenty-one trillion, two hundred twelve billion, one hundred two million, one hundred twelve thousand, two hundred one".