10201212211221 has 6 divisors (see below), whose sum is σ = 14735084305110. Its totient is φ = 6800808140808.

The previous prime is 10201212211219. The next prime is 10201212211273. The reversal of 10201212211221 is 12211221210201.

10201212211221 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 212 + 211 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8528882180625 + 1672330030596 = 2920425^2 + 1293186^2 .

It is not a de Polignac number, because 10201212211221 - 2¹ = 10201212211219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201212211194 and 10201212211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201212211121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 566734011726 + ... + 566734011743.

It is an arithmetic number, because the mean of its divisors is an integer number (2455847384185).

Almost surely, 2^{10201212211221} is an apocalyptic number.

It is an amenable number.

10201212211221 is a deficient number, since it is larger than the sum of its proper divisors (4533872093889).

10201212211221 is a wasteful number, since it uses less digits than its factorization.

10201212211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133468023475 (or 1133468023472 counting only the distinct ones).

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

Adding to 10201212211221 its reverse (12211221210201), we get a palindrome (22412433421422).

The spelling of 10201212211221 in words is "ten trillion, two hundred one billion, two hundred twelve million, two hundred eleven thousand, two hundred twenty-one".