10212201221121 has 12 divisors (see below), whose sum is σ = 14849957034900. Its totient is φ = 6762441971040.

The previous prime is 10212201221119. The next prime is 10212201221137. The reversal of 10212201221121 is 12112210221201.

10212201221121 is a `hidden beast` number, since 10 + 212 + 201 + 221 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 327710451600 + 9884490769521 = 572460^2 + 3143961^2 .

It is not a de Polignac number, because 10212201221121 - 2¹ = 10212201221119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10212201221094 and 10212201221103.

It is not an unprimeable number, because it can be changed into a prime (10212201221111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3807679950 + ... + 3807682631.

It is an arithmetic number, because the mean of its divisors is an integer number (1237496419575).

Almost surely, 2^{10212201221121} is an apocalyptic number.

It is an amenable number.

10212201221121 is a deficient number, since it is larger than the sum of its proper divisors (4637755813779).

10212201221121 is a wasteful number, since it uses less digits than its factorization.

10212201221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7615362736 (or 7615362733 counting only the distinct ones).

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

Adding to 10212201221121 its reverse (12112210221201), we get a palindrome (22324411442322).

The spelling of 10212201221121 in words is "ten trillion, two hundred twelve billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty-one".